Check whether the given situation involve Bernoulli trials and explain the reason.

Question

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Answer 1

Question

Chapter 16, Problem 1E

a.

To determine

Check whether the given situation involve Bernoulli trials and explain the reason.

a.

Expert Solution

Answer to Problem 1E

No, the given situation does not involve Bernoulli trials.

Explanation of Solution

It is given that 50 dice are rolled to find the distribution of the number of spots on the faces.

The trials are said to be Bernoulli trials under the conditions as follows:

There are only two possible outcomes, success and failure, on each trial.
The probability of success, denoted as p, remains the same from trial to trial.
The trials are independent.

Here, the outcomes of the experiment are, 1,2,3,4,5, and 6. That is, the outcomes of the experiment are more than two. Thus, the first condition for Bernoulli trails is not satisfied and thus, the given situation does not involve Bernoulli trials.

b.

To determine

Check whether the given situation involves Bernoulli trials and explain the reason.

b.

Expert Solution

Answer to Problem 1E

Yes, the given situation involves Bernoulli trials.

Explanation of Solution

It is given that Type A blood is found in 43% of the population. It is checked how much is it likely that a group of 120 majority may have Type A blood.

Here, the outcomes of the experiment are two, the person has Type A blood and does not have, that is, the first condition for Bernoulli trails is satisfied.

It is given that the Type A blood is found in 43% of the population. Thus, the probability of success remains the same from trial to trial.

Here, the trials are finite and it causes the probabilities to change, making the trials not independent. If the sample selected is less than 10% of the population, it can be stated that the trials are independent.

Here, the sample selected is 120 and it will represent less than 10% of all possible donors.

Thus, the given situation involves Bernoulli trials.

c.

To determine

Check whether the given situation involves Bernoulli trials and explain the reason.

c.

Expert Solution

Answer to Problem 1E

No, the given situation does not involve Bernoulli trials.

Explanation of Solution

Cards with hearts are selected from a deck of seven cards.

Here, the probability of getting a heart from a deck of 7 cards changes from trial to trial. That is, the second condition for Bernoulli trails is not satisfied.

Thus, the given situation does not involve Bernoulli trials.

d.

To determine

Check whether the given situation involves Bernoulli trials and explain the reason.

d.

Expert Solution

Answer to Problem 1E

No, the given situation does not involve Bernoulli trials.

Explanation of Solution

A poll of 500 of the likely voters is conducted to see how many favor the proposed budget, to predict the outcome of a vote on the school budget.

Here, the population consists 3,000 and the sample consists of 500 voters, which is more than 10% of the population. That is, the trials are not independent and the third condition for Bernoulli trails is not satisfied.

Thus, the given situation does not involve Bernoulli trials.

e.

To determine

Check whether the given situation involves Bernoulli trials and explain the reason.

e.

Expert Solution

Explanation of Solution

It was found that about 10% of the packages are not being sealed properly. It is checked whether finding more than 3 are unsealed in 24 packages is likely or not.

The outcomes of the experiment are, the package is sealed properly, and the packages are not sealed properly. Thus, the first condition is satisfied.

It was found that about 10% of the packages are not being sealed properly. That is, the probability of success is 0.10. Thus, the second condition is satisfied.

Here, the trials are finite and it causes the probabilities to change, making the trials not independent. If the sample selected is less than 10% of the population, it can be stated that the trials are independent.

Here, the sample selected is of 24 packages and it will represent less than 10% of all packages.

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Answer 2

Question

Chapter 16, Problem 1E

a.

To determine

Check whether the given situation involve Bernoulli trials and explain the reason.

a.

Expert Solution

Answer to Problem 1E

No, the given situation does not involve Bernoulli trials.

Explanation of Solution

It is given that 50 dice are rolled to find the distribution of the number of spots on the faces.

The trials are said to be Bernoulli trials under the conditions as follows:

There are only two possible outcomes, success and failure, on each trial.
The probability of success, denoted as p, remains the same from trial to trial.
The trials are independent.

Here, the outcomes of the experiment are, 1,2,3,4,5, and 6. That is, the outcomes of the experiment are more than two. Thus, the first condition for Bernoulli trails is not satisfied and thus, the given situation does not involve Bernoulli trials.

b.

To determine

Check whether the given situation involves Bernoulli trials and explain the reason.

b.

Expert Solution

Answer to Problem 1E

Yes, the given situation involves Bernoulli trials.

Explanation of Solution

It is given that Type A blood is found in 43% of the population. It is checked how much is it likely that a group of 120 majority may have Type A blood.

Here, the outcomes of the experiment are two, the person has Type A blood and does not have, that is, the first condition for Bernoulli trails is satisfied.

It is given that the Type A blood is found in 43% of the population. Thus, the probability of success remains the same from trial to trial.

Here, the trials are finite and it causes the probabilities to change, making the trials not independent. If the sample selected is less than 10% of the population, it can be stated that the trials are independent.

Here, the sample selected is 120 and it will represent less than 10% of all possible donors.

Thus, the given situation involves Bernoulli trials.

c.

To determine

Check whether the given situation involves Bernoulli trials and explain the reason.

c.

Expert Solution

Answer to Problem 1E

No, the given situation does not involve Bernoulli trials.

Explanation of Solution

Cards with hearts are selected from a deck of seven cards.

Here, the probability of getting a heart from a deck of 7 cards changes from trial to trial. That is, the second condition for Bernoulli trails is not satisfied.

Thus, the given situation does not involve Bernoulli trials.

d.

To determine

Check whether the given situation involves Bernoulli trials and explain the reason.

d.

Expert Solution

Answer to Problem 1E

No, the given situation does not involve Bernoulli trials.

Explanation of Solution

A poll of 500 of the likely voters is conducted to see how many favor the proposed budget, to predict the outcome of a vote on the school budget.

Here, the population consists 3,000 and the sample consists of 500 voters, which is more than 10% of the population. That is, the trials are not independent and the third condition for Bernoulli trails is not satisfied.

Thus, the given situation does not involve Bernoulli trials.

e.

To determine

Check whether the given situation involves Bernoulli trials and explain the reason.

e.

Expert Solution

Explanation of Solution

It was found that about 10% of the packages are not being sealed properly. It is checked whether finding more than 3 are unsealed in 24 packages is likely or not.

The outcomes of the experiment are, the package is sealed properly, and the packages are not sealed properly. Thus, the first condition is satisfied.

It was found that about 10% of the packages are not being sealed properly. That is, the probability of success is 0.10. Thus, the second condition is satisfied.

Here, the trials are finite and it causes the probabilities to change, making the trials not independent. If the sample selected is less than 10% of the population, it can be stated that the trials are independent.

Here, the sample selected is of 24 packages and it will represent less than 10% of all packages.

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Answer 3

Question

Chapter 16, Problem 1E

a.

To determine

Check whether the given situation involve Bernoulli trials and explain the reason.

a.

Expert Solution

Answer to Problem 1E

No, the given situation does not involve Bernoulli trials.

Explanation of Solution

It is given that 50 dice are rolled to find the distribution of the number of spots on the faces.

The trials are said to be Bernoulli trials under the conditions as follows:

There are only two possible outcomes, success and failure, on each trial.
The probability of success, denoted as p, remains the same from trial to trial.
The trials are independent.

Here, the outcomes of the experiment are, 1,2,3,4,5, and 6. That is, the outcomes of the experiment are more than two. Thus, the first condition for Bernoulli trails is not satisfied and thus, the given situation does not involve Bernoulli trials.

b.

To determine

Check whether the given situation involves Bernoulli trials and explain the reason.

b.

Expert Solution

Answer to Problem 1E

Yes, the given situation involves Bernoulli trials.

Explanation of Solution

It is given that Type A blood is found in 43% of the population. It is checked how much is it likely that a group of 120 majority may have Type A blood.

Here, the outcomes of the experiment are two, the person has Type A blood and does not have, that is, the first condition for Bernoulli trails is satisfied.

It is given that the Type A blood is found in 43% of the population. Thus, the probability of success remains the same from trial to trial.

Here, the trials are finite and it causes the probabilities to change, making the trials not independent. If the sample selected is less than 10% of the population, it can be stated that the trials are independent.

Here, the sample selected is 120 and it will represent less than 10% of all possible donors.

Thus, the given situation involves Bernoulli trials.

c.

To determine

Check whether the given situation involves Bernoulli trials and explain the reason.

c.

Expert Solution

Answer to Problem 1E

No, the given situation does not involve Bernoulli trials.

Explanation of Solution

Cards with hearts are selected from a deck of seven cards.

Here, the probability of getting a heart from a deck of 7 cards changes from trial to trial. That is, the second condition for Bernoulli trails is not satisfied.

Thus, the given situation does not involve Bernoulli trials.

d.

To determine

Check whether the given situation involves Bernoulli trials and explain the reason.

d.

Expert Solution

Answer to Problem 1E

No, the given situation does not involve Bernoulli trials.

Explanation of Solution

A poll of 500 of the likely voters is conducted to see how many favor the proposed budget, to predict the outcome of a vote on the school budget.

Here, the population consists 3,000 and the sample consists of 500 voters, which is more than 10% of the population. That is, the trials are not independent and the third condition for Bernoulli trails is not satisfied.

Thus, the given situation does not involve Bernoulli trials.

e.

To determine

Check whether the given situation involves Bernoulli trials and explain the reason.

e.

Expert Solution

Explanation of Solution

It was found that about 10% of the packages are not being sealed properly. It is checked whether finding more than 3 are unsealed in 24 packages is likely or not.

The outcomes of the experiment are, the package is sealed properly, and the packages are not sealed properly. Thus, the first condition is satisfied.

It was found that about 10% of the packages are not being sealed properly. That is, the probability of success is 0.10. Thus, the second condition is satisfied.

Here, the trials are finite and it causes the probabilities to change, making the trials not independent. If the sample selected is less than 10% of the population, it can be stated that the trials are independent.

Here, the sample selected is of 24 packages and it will represent less than 10% of all packages.

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Answer 4

Question

Chapter 16, Problem 1E

a.

To determine

Check whether the given situation involve Bernoulli trials and explain the reason.

a.

Expert Solution

Answer to Problem 1E

No, the given situation does not involve Bernoulli trials.

Explanation of Solution

It is given that 50 dice are rolled to find the distribution of the number of spots on the faces.

The trials are said to be Bernoulli trials under the conditions as follows:

There are only two possible outcomes, success and failure, on each trial.
The probability of success, denoted as p, remains the same from trial to trial.
The trials are independent.

Here, the outcomes of the experiment are, 1,2,3,4,5, and 6. That is, the outcomes of the experiment are more than two. Thus, the first condition for Bernoulli trails is not satisfied and thus, the given situation does not involve Bernoulli trials.

b.

To determine

Check whether the given situation involves Bernoulli trials and explain the reason.

b.

Expert Solution

Answer to Problem 1E

Yes, the given situation involves Bernoulli trials.

Explanation of Solution

It is given that Type A blood is found in 43% of the population. It is checked how much is it likely that a group of 120 majority may have Type A blood.

Here, the outcomes of the experiment are two, the person has Type A blood and does not have, that is, the first condition for Bernoulli trails is satisfied.

It is given that the Type A blood is found in 43% of the population. Thus, the probability of success remains the same from trial to trial.

Here, the trials are finite and it causes the probabilities to change, making the trials not independent. If the sample selected is less than 10% of the population, it can be stated that the trials are independent.

Here, the sample selected is 120 and it will represent less than 10% of all possible donors.

Thus, the given situation involves Bernoulli trials.

c.

To determine

Check whether the given situation involves Bernoulli trials and explain the reason.

c.

Expert Solution

Answer to Problem 1E

No, the given situation does not involve Bernoulli trials.

Explanation of Solution

Cards with hearts are selected from a deck of seven cards.

Here, the probability of getting a heart from a deck of 7 cards changes from trial to trial. That is, the second condition for Bernoulli trails is not satisfied.

Thus, the given situation does not involve Bernoulli trials.

d.

To determine

Check whether the given situation involves Bernoulli trials and explain the reason.

d.

Expert Solution

Answer to Problem 1E

No, the given situation does not involve Bernoulli trials.

Explanation of Solution

A poll of 500 of the likely voters is conducted to see how many favor the proposed budget, to predict the outcome of a vote on the school budget.

Here, the population consists 3,000 and the sample consists of 500 voters, which is more than 10% of the population. That is, the trials are not independent and the third condition for Bernoulli trails is not satisfied.

Thus, the given situation does not involve Bernoulli trials.

e.

To determine

Check whether the given situation involves Bernoulli trials and explain the reason.

e.

Expert Solution

Explanation of Solution

It was found that about 10% of the packages are not being sealed properly. It is checked whether finding more than 3 are unsealed in 24 packages is likely or not.

The outcomes of the experiment are, the package is sealed properly, and the packages are not sealed properly. Thus, the first condition is satisfied.

It was found that about 10% of the packages are not being sealed properly. That is, the probability of success is 0.10. Thus, the second condition is satisfied.

Here, the trials are finite and it causes the probabilities to change, making the trials not independent. If the sample selected is less than 10% of the population, it can be stated that the trials are independent.

Here, the sample selected is of 24 packages and it will represent less than 10% of all packages.

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Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 5

Chapter 16, Problem 1E

a.

To determine

Check whether the given situation involve Bernoulli trials and explain the reason.

a.

Expert Solution

Answer to Problem 1E

No, the given situation does not involve Bernoulli trials.

Explanation of Solution

It is given that 50 dice are rolled to find the distribution of the number of spots on the faces.

The trials are said to be Bernoulli trials under the conditions as follows:

There are only two possible outcomes, success and failure, on each trial.
The probability of success, denoted as p, remains the same from trial to trial.
The trials are independent.

Here, the outcomes of the experiment are, 1,2,3,4,5, and 6. That is, the outcomes of the experiment are more than two. Thus, the first condition for Bernoulli trails is not satisfied and thus, the given situation does not involve Bernoulli trials.

b.

To determine

Check whether the given situation involves Bernoulli trials and explain the reason.

b.

Expert Solution

Answer to Problem 1E

Yes, the given situation involves Bernoulli trials.

Explanation of Solution

It is given that Type A blood is found in 43% of the population. It is checked how much is it likely that a group of 120 majority may have Type A blood.

Here, the outcomes of the experiment are two, the person has Type A blood and does not have, that is, the first condition for Bernoulli trails is satisfied.

It is given that the Type A blood is found in 43% of the population. Thus, the probability of success remains the same from trial to trial.

Here, the trials are finite and it causes the probabilities to change, making the trials not independent. If the sample selected is less than 10% of the population, it can be stated that the trials are independent.

Here, the sample selected is 120 and it will represent less than 10% of all possible donors.

Thus, the given situation involves Bernoulli trials.

c.

To determine

Check whether the given situation involves Bernoulli trials and explain the reason.

c.

Expert Solution

Answer to Problem 1E

No, the given situation does not involve Bernoulli trials.

Explanation of Solution

Cards with hearts are selected from a deck of seven cards.

Here, the probability of getting a heart from a deck of 7 cards changes from trial to trial. That is, the second condition for Bernoulli trails is not satisfied.

Thus, the given situation does not involve Bernoulli trials.

d.

To determine

Check whether the given situation involves Bernoulli trials and explain the reason.

d.

Expert Solution

Answer to Problem 1E

No, the given situation does not involve Bernoulli trials.

Explanation of Solution

A poll of 500 of the likely voters is conducted to see how many favor the proposed budget, to predict the outcome of a vote on the school budget.

Here, the population consists 3,000 and the sample consists of 500 voters, which is more than 10% of the population. That is, the trials are not independent and the third condition for Bernoulli trails is not satisfied.

Thus, the given situation does not involve Bernoulli trials.

e.

To determine

Check whether the given situation involves Bernoulli trials and explain the reason.

e.

Expert Solution

Explanation of Solution

It was found that about 10% of the packages are not being sealed properly. It is checked whether finding more than 3 are unsealed in 24 packages is likely or not.

The outcomes of the experiment are, the package is sealed properly, and the packages are not sealed properly. Thus, the first condition is satisfied.

It was found that about 10% of the packages are not being sealed properly. That is, the probability of success is 0.10. Thus, the second condition is satisfied.

Here, the trials are finite and it causes the probabilities to change, making the trials not independent. If the sample selected is less than 10% of the population, it can be stated that the trials are independent.

Here, the sample selected is of 24 packages and it will represent less than 10% of all packages.

Answer 6

Chapter 16, Problem 1E

a.

To determine

Check whether the given situation involve Bernoulli trials and explain the reason.

a.

Expert Solution

Answer to Problem 1E

No, the given situation does not involve Bernoulli trials.

Explanation of Solution

It is given that 50 dice are rolled to find the distribution of the number of spots on the faces.

The trials are said to be Bernoulli trials under the conditions as follows:

There are only two possible outcomes, success and failure, on each trial.
The probability of success, denoted as p, remains the same from trial to trial.
The trials are independent.

Here, the outcomes of the experiment are, 1,2,3,4,5, and 6. That is, the outcomes of the experiment are more than two. Thus, the first condition for Bernoulli trails is not satisfied and thus, the given situation does not involve Bernoulli trials.

Answer 7

Chapter 16, Problem 1E

a.

To determine

Check whether the given situation involve Bernoulli trials and explain the reason.

Answer 8

a.

Expert Solution

Answer to Problem 1E

No, the given situation does not involve Bernoulli trials.

Answer 9

a.

Expert Solution

Answer 10

a.

Expert Solution

Answer 11

Expert Solution

Answer 12

Explanation of Solution

It is given that 50 dice are rolled to find the distribution of the number of spots on the faces.

The trials are said to be Bernoulli trials under the conditions as follows:

There are only two possible outcomes, success and failure, on each trial.
The probability of success, denoted as p, remains the same from trial to trial.
The trials are independent.

Here, the outcomes of the experiment are, 1,2,3,4,5, and 6. That is, the outcomes of the experiment are more than two. Thus, the first condition for Bernoulli trails is not satisfied and thus, the given situation does not involve Bernoulli trials.

Answer 13

b.

To determine

Check whether the given situation involves Bernoulli trials and explain the reason.

b.

Expert Solution

Answer to Problem 1E

Yes, the given situation involves Bernoulli trials.

Explanation of Solution

It is given that Type A blood is found in 43% of the population. It is checked how much is it likely that a group of 120 majority may have Type A blood.

Here, the outcomes of the experiment are two, the person has Type A blood and does not have, that is, the first condition for Bernoulli trails is satisfied.

It is given that the Type A blood is found in 43% of the population. Thus, the probability of success remains the same from trial to trial.

Here, the trials are finite and it causes the probabilities to change, making the trials not independent. If the sample selected is less than 10% of the population, it can be stated that the trials are independent.

Here, the sample selected is 120 and it will represent less than 10% of all possible donors.

Thus, the given situation involves Bernoulli trials.

Answer 14

b.

To determine

Check whether the given situation involves Bernoulli trials and explain the reason.

Answer 15

b.

Expert Solution

Answer to Problem 1E

Yes, the given situation involves Bernoulli trials.

Answer 16

b.

Expert Solution

Answer 17

b.

Expert Solution

Answer 18

Expert Solution

Answer 19

Explanation of Solution

It is given that Type A blood is found in 43% of the population. It is checked how much is it likely that a group of 120 majority may have Type A blood.

Here, the outcomes of the experiment are two, the person has Type A blood and does not have, that is, the first condition for Bernoulli trails is satisfied.

It is given that the Type A blood is found in 43% of the population. Thus, the probability of success remains the same from trial to trial.

Here, the trials are finite and it causes the probabilities to change, making the trials not independent. If the sample selected is less than 10% of the population, it can be stated that the trials are independent.

Here, the sample selected is 120 and it will represent less than 10% of all possible donors.

Thus, the given situation involves Bernoulli trials.

Answer 20

c.

To determine

Check whether the given situation involves Bernoulli trials and explain the reason.

c.

Expert Solution

Answer to Problem 1E

No, the given situation does not involve Bernoulli trials.

Explanation of Solution

Cards with hearts are selected from a deck of seven cards.

Here, the probability of getting a heart from a deck of 7 cards changes from trial to trial. That is, the second condition for Bernoulli trails is not satisfied.

Thus, the given situation does not involve Bernoulli trials.

Answer 21

c.

To determine

Check whether the given situation involves Bernoulli trials and explain the reason.

Answer 22

c.

Expert Solution

Answer to Problem 1E

No, the given situation does not involve Bernoulli trials.

Answer 23

c.

Expert Solution

Answer 24

c.

Expert Solution

Answer 25

Expert Solution

Answer 26

Explanation of Solution

Cards with hearts are selected from a deck of seven cards.

Here, the probability of getting a heart from a deck of 7 cards changes from trial to trial. That is, the second condition for Bernoulli trails is not satisfied.

Thus, the given situation does not involve Bernoulli trials.

Answer 27

d.

To determine

Check whether the given situation involves Bernoulli trials and explain the reason.

d.

Expert Solution

Answer to Problem 1E

No, the given situation does not involve Bernoulli trials.

Explanation of Solution

A poll of 500 of the likely voters is conducted to see how many favor the proposed budget, to predict the outcome of a vote on the school budget.

Here, the population consists 3,000 and the sample consists of 500 voters, which is more than 10% of the population. That is, the trials are not independent and the third condition for Bernoulli trails is not satisfied.

Thus, the given situation does not involve Bernoulli trials.

Answer 28

d.

To determine

Check whether the given situation involves Bernoulli trials and explain the reason.

Answer 29

d.

Expert Solution

Answer to Problem 1E

No, the given situation does not involve Bernoulli trials.

Answer 30

d.

Expert Solution

Answer 31

d.

Expert Solution

Answer 32

Expert Solution

Answer 33

Explanation of Solution

A poll of 500 of the likely voters is conducted to see how many favor the proposed budget, to predict the outcome of a vote on the school budget.

Here, the population consists 3,000 and the sample consists of 500 voters, which is more than 10% of the population. That is, the trials are not independent and the third condition for Bernoulli trails is not satisfied.

Thus, the given situation does not involve Bernoulli trials.

Answer 34

e.

To determine

Check whether the given situation involves Bernoulli trials and explain the reason.

e.

Expert Solution

Explanation of Solution

It was found that about 10% of the packages are not being sealed properly. It is checked whether finding more than 3 are unsealed in 24 packages is likely or not.

The outcomes of the experiment are, the package is sealed properly, and the packages are not sealed properly. Thus, the first condition is satisfied.

It was found that about 10% of the packages are not being sealed properly. That is, the probability of success is 0.10. Thus, the second condition is satisfied.

Here, the trials are finite and it causes the probabilities to change, making the trials not independent. If the sample selected is less than 10% of the population, it can be stated that the trials are independent.

Here, the sample selected is of 24 packages and it will represent less than 10% of all packages.

Answer 35

e.

To determine

Check whether the given situation involves Bernoulli trials and explain the reason.

Answer 36

e.

Expert Solution

Explanation of Solution

It was found that about 10% of the packages are not being sealed properly. It is checked whether finding more than 3 are unsealed in 24 packages is likely or not.

The outcomes of the experiment are, the package is sealed properly, and the packages are not sealed properly. Thus, the first condition is satisfied.

It was found that about 10% of the packages are not being sealed properly. That is, the probability of success is 0.10. Thus, the second condition is satisfied.

Here, the trials are finite and it causes the probabilities to change, making the trials not independent. If the sample selected is less than 10% of the population, it can be stated that the trials are independent.

Here, the sample selected is of 24 packages and it will represent less than 10% of all packages.

Answer 37

e.

Expert Solution

Answer 38

e.

Expert Solution

Answer 39

Expert Solution

Answer 40

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Check whether the given situation involve Bernoulli trials and explain the reason.

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Check whether the given situation involve Bernoulli trials and explain the reason.

Answer to Problem 1E

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Check whether the given situation involves Bernoulli trials and explain the reason.

Answer to Problem 1E

Explanation of Solution

Check whether the given situation involves Bernoulli trials and explain the reason.

Answer to Problem 1E

Explanation of Solution

Check whether the given situation involves Bernoulli trials and explain the reason.

Answer to Problem 1E

Explanation of Solution

Check whether the given situation involves Bernoulli trials and explain the reason.

Explanation of Solution

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