Three coins are tossed. Give an example of a simple event . Give an example of a joint event. What is the complement of a head on the first toss? What does the sample space consist of?

Question

Want to see more full solutions like this?

Answer 1

Textbook Question

Chapter 4, Problem 4.1LB

Three coins are tossed.

Give an example of a simple event.
Give an example of a joint event.
What is the complement of a head on the first toss?
What does the sample space consist of?

a)

Expert Solution

To determine

To provide an example of a simple event.

Answer to Problem 4.1LB

Getting a head on first coin.

Explanation of Solution

Given:

3 Coins tossed

A simple event refers to the event that occur one at a time and have only one outcome at a time.

The example of the simple event is “Getting a head on first coin.”

b)

Expert Solution

To determine

To provide an example of a joint event.

Answer to Problem 4.1LB

Getting a head on first and third coin.

Explanation of Solution

A joint event means when two events occur at a time.

The example of the simple event is “Getting a head on first and third coin.”

c)

Expert Solution

To determine

To provide an example of a compliment event.

Answer to Problem 4.1LB

Tail on the first toss.

Explanation of Solution

Complementary events are refers to the event when there are two outcomes like having a job or not having a job.

The complimentary event of head on first toss is that “tail on the first toss.”

d)

Expert Solution

To determine

To explain the sample space.

Answer to Problem 4.1LB

{HHH,HHT,HTH,HTT,THH,THT,TTH,TTT}

Explanation of Solution

A sample space is a set of all the possible outcomes of an experiment.

The sample space for the given three coins experiment is given below:

{HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}

Want to see more full solutions like this?

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

Students have asked these similar questions

The table below shows the estimated effects for a logistic regression model with squamous cell esophageal cancer (Y = 1, yes; Y = 0, no) as the response. Smoking status (S) equals 1 for at least one pack per day and 0 otherwise, alcohol consumption (A) equals the average number of alcohoic drinks consumed per day, and race (R) equals 1 for blacks and 0 for whites. Variable Effect (β) P-value Intercept -7.00 <0.01 Alcohol use 0.10 0.03 Smoking 1.20 <0.01 Race 0.30 0.02 Race × smoking 0.20 0.04 Write-out the prediction equation (i.e., the logistic regression model) when R = 0 and again when R = 1. Find the fitted Y S conditional odds ratio in each case. Next, write-out the logistic regression model when S = 0 and again when S = 1. Find the fitted Y R conditional odds ratio in each case.

The chi-squared goodness-of-fit test can be used to test if data comes from a specific continuous distribution by binning the data to make it categorical. Using the OpenIntro Statistics county_complete dataset, test the hypothesis that the persons_per_household 2019 values come from a normal distribution with mean and standard deviation equal to that variable's mean and standard deviation. Use signficance level a = 0.01. In your solution you should 1. Formulate the hypotheses 2. Fill in this table Range (-⁰⁰, 2.34] (2.34, 2.81] (2.81, 3.27] (3.27,00) Observed 802 Expected 854.2 The first row has been filled in. That should give you a hint for how to calculate the expected frequencies. Remember that the expected frequencies are calculated under the assumption that the null hypothesis is true. FYI, the bounderies for each range were obtained using JASP's drag-and-drop cut function with 8 levels. Then some of the groups were merged. 3. Check any conditions required by the chi-squared…

Suppose that you want to estimate the mean monthly gross income of all households in your local community. You decide to estimate this population parameter by calling 150 randomly selected residents and asking each individual to report the household’s monthly income. Assume that you use the local phone directory as the frame in selecting the households to be included in your sample. What are some possible sources of error that might arise in your effort to estimate the population mean?

Answer 2

Textbook Question

Chapter 4, Problem 4.1LB

Three coins are tossed.

Give an example of a simple event.
Give an example of a joint event.
What is the complement of a head on the first toss?
What does the sample space consist of?

a)

Expert Solution

To determine

To provide an example of a simple event.

Answer to Problem 4.1LB

Getting a head on first coin.

Explanation of Solution

Given:

3 Coins tossed

A simple event refers to the event that occur one at a time and have only one outcome at a time.

The example of the simple event is “Getting a head on first coin.”

b)

Expert Solution

To determine

To provide an example of a joint event.

Answer to Problem 4.1LB

Getting a head on first and third coin.

Explanation of Solution

A joint event means when two events occur at a time.

The example of the simple event is “Getting a head on first and third coin.”

c)

Expert Solution

To determine

To provide an example of a compliment event.

Answer to Problem 4.1LB

Tail on the first toss.

Explanation of Solution

Complementary events are refers to the event when there are two outcomes like having a job or not having a job.

The complimentary event of head on first toss is that “tail on the first toss.”

d)

Expert Solution

To determine

To explain the sample space.

Answer to Problem 4.1LB

{HHH,HHT,HTH,HTT,THH,THT,TTH,TTT}

Explanation of Solution

A sample space is a set of all the possible outcomes of an experiment.

The sample space for the given three coins experiment is given below:

{HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}

Want to see more full solutions like this?

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

Answer 3

Textbook Question

Chapter 4, Problem 4.1LB

Three coins are tossed.

Give an example of a simple event.
Give an example of a joint event.
What is the complement of a head on the first toss?
What does the sample space consist of?

a)

Expert Solution

To determine

To provide an example of a simple event.

Answer to Problem 4.1LB

Getting a head on first coin.

Explanation of Solution

Given:

3 Coins tossed

A simple event refers to the event that occur one at a time and have only one outcome at a time.

The example of the simple event is “Getting a head on first coin.”

b)

Expert Solution

To determine

To provide an example of a joint event.

Answer to Problem 4.1LB

Getting a head on first and third coin.

Explanation of Solution

A joint event means when two events occur at a time.

The example of the simple event is “Getting a head on first and third coin.”

c)

Expert Solution

To determine

To provide an example of a compliment event.

Answer to Problem 4.1LB

Tail on the first toss.

Explanation of Solution

Complementary events are refers to the event when there are two outcomes like having a job or not having a job.

The complimentary event of head on first toss is that “tail on the first toss.”

d)

Expert Solution

To determine

To explain the sample space.

Answer to Problem 4.1LB

{HHH,HHT,HTH,HTT,THH,THT,TTH,TTT}

Explanation of Solution

A sample space is a set of all the possible outcomes of an experiment.

The sample space for the given three coins experiment is given below:

{HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}

Want to see more full solutions like this?

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

Answer 4

Textbook Question

Chapter 4, Problem 4.1LB

Three coins are tossed.

Give an example of a simple event.
Give an example of a joint event.
What is the complement of a head on the first toss?
What does the sample space consist of?

a)

Expert Solution

To determine

To provide an example of a simple event.

Answer to Problem 4.1LB

Getting a head on first coin.

Explanation of Solution

Given:

3 Coins tossed

A simple event refers to the event that occur one at a time and have only one outcome at a time.

The example of the simple event is “Getting a head on first coin.”

b)

Expert Solution

To determine

To provide an example of a joint event.

Answer to Problem 4.1LB

Getting a head on first and third coin.

Explanation of Solution

A joint event means when two events occur at a time.

The example of the simple event is “Getting a head on first and third coin.”

c)

Expert Solution

To determine

To provide an example of a compliment event.

Answer to Problem 4.1LB

Tail on the first toss.

Explanation of Solution

Complementary events are refers to the event when there are two outcomes like having a job or not having a job.

The complimentary event of head on first toss is that “tail on the first toss.”

d)

Expert Solution

To determine

To explain the sample space.

Answer to Problem 4.1LB

{HHH,HHT,HTH,HTT,THH,THT,TTH,TTT}

Explanation of Solution

A sample space is a set of all the possible outcomes of an experiment.

The sample space for the given three coins experiment is given below:

{HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}

Want to see more full solutions like this?

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

Answer 5

Textbook Question

Answer 6

Textbook Question

Answer 7

a)

Expert Solution

To determine

To provide an example of a simple event.

Answer to Problem 4.1LB

Getting a head on first coin.

Explanation of Solution

Given:

3 Coins tossed

A simple event refers to the event that occur one at a time and have only one outcome at a time.

The example of the simple event is “Getting a head on first coin.”

b)

Expert Solution

To determine

To provide an example of a joint event.

Answer to Problem 4.1LB

Getting a head on first and third coin.

Explanation of Solution

A joint event means when two events occur at a time.

The example of the simple event is “Getting a head on first and third coin.”

c)

Expert Solution

To determine

To provide an example of a compliment event.

Answer to Problem 4.1LB

Tail on the first toss.

Explanation of Solution

Complementary events are refers to the event when there are two outcomes like having a job or not having a job.

The complimentary event of head on first toss is that “tail on the first toss.”

d)

Expert Solution

To determine

To explain the sample space.

Answer to Problem 4.1LB

{HHH,HHT,HTH,HTT,THH,THT,TTH,TTT}

Explanation of Solution

A sample space is a set of all the possible outcomes of an experiment.

The sample space for the given three coins experiment is given below:

{HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}

Answer 8

a)

Expert Solution

To determine

To provide an example of a simple event.

Answer to Problem 4.1LB

Getting a head on first coin.

Explanation of Solution

Given:

3 Coins tossed

A simple event refers to the event that occur one at a time and have only one outcome at a time.

The example of the simple event is “Getting a head on first coin.”

Answer 9

a)

Expert Solution

Answer 10

a)

Expert Solution

Answer 11

Expert Solution

Answer 12

To determine

To provide an example of a simple event.

Answer 13

Answer to Problem 4.1LB

Getting a head on first coin.

Answer 14

Explanation of Solution

Given:

3 Coins tossed

A simple event refers to the event that occur one at a time and have only one outcome at a time.

The example of the simple event is “Getting a head on first coin.”

Answer 15

b)

Expert Solution

To determine

To provide an example of a joint event.

Answer to Problem 4.1LB

Getting a head on first and third coin.

Explanation of Solution

A joint event means when two events occur at a time.

The example of the simple event is “Getting a head on first and third coin.”

Answer 16

b)

Expert Solution

Answer 17

b)

Expert Solution

Answer 18

Expert Solution

Answer 19

To determine

To provide an example of a joint event.

Answer 20

Answer to Problem 4.1LB

Getting a head on first and third coin.

Answer 21

Explanation of Solution

A joint event means when two events occur at a time.

The example of the simple event is “Getting a head on first and third coin.”

Answer 22

c)

Expert Solution

To determine

To provide an example of a compliment event.

Answer to Problem 4.1LB

Tail on the first toss.

Explanation of Solution

Complementary events are refers to the event when there are two outcomes like having a job or not having a job.

The complimentary event of head on first toss is that “tail on the first toss.”

Answer 23

c)

Expert Solution

Answer 24

c)

Expert Solution

Answer 25

Expert Solution

Answer 26

To determine

To provide an example of a compliment event.

Answer 27

Answer to Problem 4.1LB

Tail on the first toss.

Answer 28

Explanation of Solution

Complementary events are refers to the event when there are two outcomes like having a job or not having a job.

The complimentary event of head on first toss is that “tail on the first toss.”

Answer 29

d)

Expert Solution

To determine

To explain the sample space.

Answer to Problem 4.1LB

{HHH,HHT,HTH,HTT,THH,THT,TTH,TTT}

Explanation of Solution

A sample space is a set of all the possible outcomes of an experiment.

The sample space for the given three coins experiment is given below:

{HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}

Answer 30

d)

Expert Solution

Answer 31

d)

Expert Solution

Answer 32

Expert Solution

Answer 33

To determine

To explain the sample space.

Answer 34

Answer to Problem 4.1LB

{HHH,HHT,HTH,HTT,THH,THT,TTH,TTT}

Answer 35

Explanation of Solution

A sample space is a set of all the possible outcomes of an experiment.

The sample space for the given three coins experiment is given below:

{HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}

Answer 36

Ch. 4 - Three coins are tossed. Give an example of a...Ch. 4 - An urn contains 12 red balls and 8 white balls....Ch. 4 - Consider the following contingency table: What is...Ch. 4 - Prob. 4.4LB Ch. 4 - For each of the following, indicate whether the...Ch. 4 - For each of the following, state whether the...Ch. 4 - Which of the following events occur with a...Ch. 4 - Do Millennials or Gen-Xers feel more tense or...Ch. 4 - Referring to the contingency table in Problem 4.8,...Ch. 4 - How will marketers change their social media use...

Three coins are tossed. Give an example of a simple event . Give an example of a joint event. What is the complement of a head on the first toss? What does the sample space consist of?

Concept explainers

Videos

Answer to Problem 4.1LB

Explanation of Solution

Answer to Problem 4.1LB

Explanation of Solution

Answer to Problem 4.1LB

Explanation of Solution

Answer to Problem 4.1LB

Explanation of Solution

Want to see more full solutions like this?

Chapter 4 Solutions

Additional Math Textbook Solutions