Check whether the random variable is discrete or continuous.

Question

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Answer 1

Question

Chapter 4, Problem 128UP

a.

To determine

Check whether the random variable is discrete or continuous.

a.

Expert Solution

Answer to Problem 128UP

The variable “The length of time that an exercise physiologist’s program takes to elevate her client’s heart rate to 140 beats per minute” is continuous.

Explanation of Solution

The random variable is “The length of time that an exercise physiologist’s program takes to elevate her client’s heart rate to 140 beats per minute”.

Discrete variable: It is a quantitative variable. It consists of either a finite number of possible values or countable number of possible values. Discrete variable cannot take every possible value between two possible values.

Continuous variable: It is a quantitative variable. It consists of an infinite number of possible values that are not countable. Countable variable can take every possible values between any two possible values.

One can measure the length of time that an exercise physiologist’s program takes to elevate her client’s heart rate to 140 beats per minute but cannot count the length of time that an exercise physiologist’s program takes to elevate her client’s heart rate to 140 beats per minute. Therefore, here, one can take every admissible value between two possible values.

Thus, the length of time that an exercise physiologist’s program takes to elevate her client’s heart rate to 140 beats per minute is a continuous random variable.

b.

To determine

Explain whether the random variable is discrete or continuous.

b.

Expert Solution

Answer to Problem 128UP

The variable “The number of crimes committed on a college campus per year” is discrete.

Explanation of Solution

The random variable is “The number of crimes committed on a college campus per year”.

One can count the number of crimes committed on a college campus per year and which is a whole number like 0, 1, 2, and so on. Thus, the number of crimes committed on a college campus per year is a finite value; it cannot be any value between two possible values.

Thus, the number of crimes committed on a college campus per year is a discrete random variable.

c.

To determine

State whether the random variable is discrete or continuous.

c.

Expert Solution

Answer to Problem 128UP

The variable “The number of square feet of vacant office space in a large city” is continuous.

Explanation of Solution

The random variable is “The number of square feet of vacant office space in a large city”.

One can measure the square feet of vacant office space in a large city but cannot count the square feet. Therefore, here, one can take any admissible value between two possible values.

Thus, the number of square feet of vacant office space in a large city is a continuous random variable.

d.

To determine

State whether the random variable is discrete or continuous.

d.

Expert Solution

Answer to Problem 128UP

The variable “The number of voters who favor a new tax proposal” is discrete.

Explanation of Solution

The random variable is “The number of voters who favor a new tax proposal”.

One can count the number of voters who favor a new tax proposal and which is a whole number such as 0, 1, 2, and so on. Thus, the number of voters who favor a new tax proposal is a finite value; it cannot be any possible value between two possible values.

Thus, the number of voters who favor a new tax proposal is a discrete random variable.

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Example 4 (Part 2) We can use Statkey to take 50 different random samples of size 20 each, find the mean of each sample, and compute a confidence interval for each one. The graph of the sampling distribution of the means is on the left below, and that of the 50 confidence intervals is on the right. 1. What does each dot on the left hand dotplot represent? StatKey Sampling Distribution for a Mean Percent with Internet Access (Countries) ▾ Show Data Table Edit Data Choose samples of size n = 20 Upload File Change Column(s) Generate 1 Sample Generate 10 Samples Generate 100 Samples Generate 1000 Samples Reset Plot Sampling Dotplot of Mean Left Tail Two-Tail Right Tail 60 50 40 40 30 20 20 10 samples = 50 mean = 41.626 std. error = 5.089 : .: : :: 0 25 30 35 40 45 50 55 60 41.626 Data Plots Confidence Intervals 95%-> Confidence Intervals Coverage 48/50 = 96% 20 40 60 80 2. Circle the confidence intervals that failed to capture the true mean. 3. Circle the sample means that produced those…

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Answer 2

Question

Chapter 4, Problem 128UP

a.

To determine

Check whether the random variable is discrete or continuous.

a.

Expert Solution

Answer to Problem 128UP

The variable “The length of time that an exercise physiologist’s program takes to elevate her client’s heart rate to 140 beats per minute” is continuous.

Explanation of Solution

The random variable is “The length of time that an exercise physiologist’s program takes to elevate her client’s heart rate to 140 beats per minute”.

Discrete variable: It is a quantitative variable. It consists of either a finite number of possible values or countable number of possible values. Discrete variable cannot take every possible value between two possible values.

Continuous variable: It is a quantitative variable. It consists of an infinite number of possible values that are not countable. Countable variable can take every possible values between any two possible values.

One can measure the length of time that an exercise physiologist’s program takes to elevate her client’s heart rate to 140 beats per minute but cannot count the length of time that an exercise physiologist’s program takes to elevate her client’s heart rate to 140 beats per minute. Therefore, here, one can take every admissible value between two possible values.

Thus, the length of time that an exercise physiologist’s program takes to elevate her client’s heart rate to 140 beats per minute is a continuous random variable.

b.

To determine

Explain whether the random variable is discrete or continuous.

b.

Expert Solution

Answer to Problem 128UP

The variable “The number of crimes committed on a college campus per year” is discrete.

Explanation of Solution

The random variable is “The number of crimes committed on a college campus per year”.

One can count the number of crimes committed on a college campus per year and which is a whole number like 0, 1, 2, and so on. Thus, the number of crimes committed on a college campus per year is a finite value; it cannot be any value between two possible values.

Thus, the number of crimes committed on a college campus per year is a discrete random variable.

c.

To determine

State whether the random variable is discrete or continuous.

c.

Expert Solution

Answer to Problem 128UP

The variable “The number of square feet of vacant office space in a large city” is continuous.

Explanation of Solution

The random variable is “The number of square feet of vacant office space in a large city”.

One can measure the square feet of vacant office space in a large city but cannot count the square feet. Therefore, here, one can take any admissible value between two possible values.

Thus, the number of square feet of vacant office space in a large city is a continuous random variable.

d.

To determine

State whether the random variable is discrete or continuous.

d.

Expert Solution

Answer to Problem 128UP

The variable “The number of voters who favor a new tax proposal” is discrete.

Explanation of Solution

The random variable is “The number of voters who favor a new tax proposal”.

One can count the number of voters who favor a new tax proposal and which is a whole number such as 0, 1, 2, and so on. Thus, the number of voters who favor a new tax proposal is a finite value; it cannot be any possible value between two possible values.

Thus, the number of voters who favor a new tax proposal is a discrete random variable.

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Answer 3

Question

Chapter 4, Problem 128UP

a.

To determine

Check whether the random variable is discrete or continuous.

a.

Expert Solution

Answer to Problem 128UP

The variable “The length of time that an exercise physiologist’s program takes to elevate her client’s heart rate to 140 beats per minute” is continuous.

Explanation of Solution

The random variable is “The length of time that an exercise physiologist’s program takes to elevate her client’s heart rate to 140 beats per minute”.

Discrete variable: It is a quantitative variable. It consists of either a finite number of possible values or countable number of possible values. Discrete variable cannot take every possible value between two possible values.

Continuous variable: It is a quantitative variable. It consists of an infinite number of possible values that are not countable. Countable variable can take every possible values between any two possible values.

One can measure the length of time that an exercise physiologist’s program takes to elevate her client’s heart rate to 140 beats per minute but cannot count the length of time that an exercise physiologist’s program takes to elevate her client’s heart rate to 140 beats per minute. Therefore, here, one can take every admissible value between two possible values.

Thus, the length of time that an exercise physiologist’s program takes to elevate her client’s heart rate to 140 beats per minute is a continuous random variable.

b.

To determine

Explain whether the random variable is discrete or continuous.

b.

Expert Solution

Answer to Problem 128UP

The variable “The number of crimes committed on a college campus per year” is discrete.

Explanation of Solution

The random variable is “The number of crimes committed on a college campus per year”.

One can count the number of crimes committed on a college campus per year and which is a whole number like 0, 1, 2, and so on. Thus, the number of crimes committed on a college campus per year is a finite value; it cannot be any value between two possible values.

Thus, the number of crimes committed on a college campus per year is a discrete random variable.

c.

To determine

State whether the random variable is discrete or continuous.

c.

Expert Solution

Answer to Problem 128UP

The variable “The number of square feet of vacant office space in a large city” is continuous.

Explanation of Solution

The random variable is “The number of square feet of vacant office space in a large city”.

One can measure the square feet of vacant office space in a large city but cannot count the square feet. Therefore, here, one can take any admissible value between two possible values.

Thus, the number of square feet of vacant office space in a large city is a continuous random variable.

d.

To determine

State whether the random variable is discrete or continuous.

d.

Expert Solution

Answer to Problem 128UP

The variable “The number of voters who favor a new tax proposal” is discrete.

Explanation of Solution

The random variable is “The number of voters who favor a new tax proposal”.

One can count the number of voters who favor a new tax proposal and which is a whole number such as 0, 1, 2, and so on. Thus, the number of voters who favor a new tax proposal is a finite value; it cannot be any possible value between two possible values.

Thus, the number of voters who favor a new tax proposal is a discrete random variable.

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

Answer 4

Question

Chapter 4, Problem 128UP

a.

To determine

Check whether the random variable is discrete or continuous.

a.

Expert Solution

Answer to Problem 128UP

The variable “The length of time that an exercise physiologist’s program takes to elevate her client’s heart rate to 140 beats per minute” is continuous.

Explanation of Solution

The random variable is “The length of time that an exercise physiologist’s program takes to elevate her client’s heart rate to 140 beats per minute”.

Discrete variable: It is a quantitative variable. It consists of either a finite number of possible values or countable number of possible values. Discrete variable cannot take every possible value between two possible values.

Continuous variable: It is a quantitative variable. It consists of an infinite number of possible values that are not countable. Countable variable can take every possible values between any two possible values.

One can measure the length of time that an exercise physiologist’s program takes to elevate her client’s heart rate to 140 beats per minute but cannot count the length of time that an exercise physiologist’s program takes to elevate her client’s heart rate to 140 beats per minute. Therefore, here, one can take every admissible value between two possible values.

Thus, the length of time that an exercise physiologist’s program takes to elevate her client’s heart rate to 140 beats per minute is a continuous random variable.

b.

To determine

Explain whether the random variable is discrete or continuous.

b.

Expert Solution

Answer to Problem 128UP

The variable “The number of crimes committed on a college campus per year” is discrete.

Explanation of Solution

The random variable is “The number of crimes committed on a college campus per year”.

One can count the number of crimes committed on a college campus per year and which is a whole number like 0, 1, 2, and so on. Thus, the number of crimes committed on a college campus per year is a finite value; it cannot be any value between two possible values.

Thus, the number of crimes committed on a college campus per year is a discrete random variable.

c.

To determine

State whether the random variable is discrete or continuous.

c.

Expert Solution

Answer to Problem 128UP

The variable “The number of square feet of vacant office space in a large city” is continuous.

Explanation of Solution

The random variable is “The number of square feet of vacant office space in a large city”.

One can measure the square feet of vacant office space in a large city but cannot count the square feet. Therefore, here, one can take any admissible value between two possible values.

Thus, the number of square feet of vacant office space in a large city is a continuous random variable.

d.

To determine

State whether the random variable is discrete or continuous.

d.

Expert Solution

Answer to Problem 128UP

The variable “The number of voters who favor a new tax proposal” is discrete.

Explanation of Solution

The random variable is “The number of voters who favor a new tax proposal”.

One can count the number of voters who favor a new tax proposal and which is a whole number such as 0, 1, 2, and so on. Thus, the number of voters who favor a new tax proposal is a finite value; it cannot be any possible value between two possible values.

Thus, the number of voters who favor a new tax proposal is a discrete random variable.

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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 4, Problem 128UP

a.

To determine

Check whether the random variable is discrete or continuous.

a.

Expert Solution

Answer to Problem 128UP

The variable “The length of time that an exercise physiologist’s program takes to elevate her client’s heart rate to 140 beats per minute” is continuous.

Explanation of Solution

The random variable is “The length of time that an exercise physiologist’s program takes to elevate her client’s heart rate to 140 beats per minute”.

Discrete variable: It is a quantitative variable. It consists of either a finite number of possible values or countable number of possible values. Discrete variable cannot take every possible value between two possible values.

Continuous variable: It is a quantitative variable. It consists of an infinite number of possible values that are not countable. Countable variable can take every possible values between any two possible values.

One can measure the length of time that an exercise physiologist’s program takes to elevate her client’s heart rate to 140 beats per minute but cannot count the length of time that an exercise physiologist’s program takes to elevate her client’s heart rate to 140 beats per minute. Therefore, here, one can take every admissible value between two possible values.

Thus, the length of time that an exercise physiologist’s program takes to elevate her client’s heart rate to 140 beats per minute is a continuous random variable.

b.

To determine

Explain whether the random variable is discrete or continuous.

b.

Expert Solution

Answer to Problem 128UP

The variable “The number of crimes committed on a college campus per year” is discrete.

Explanation of Solution

The random variable is “The number of crimes committed on a college campus per year”.

One can count the number of crimes committed on a college campus per year and which is a whole number like 0, 1, 2, and so on. Thus, the number of crimes committed on a college campus per year is a finite value; it cannot be any value between two possible values.

Thus, the number of crimes committed on a college campus per year is a discrete random variable.

c.

To determine

State whether the random variable is discrete or continuous.

c.

Expert Solution

Answer to Problem 128UP

The variable “The number of square feet of vacant office space in a large city” is continuous.

Explanation of Solution

The random variable is “The number of square feet of vacant office space in a large city”.

One can measure the square feet of vacant office space in a large city but cannot count the square feet. Therefore, here, one can take any admissible value between two possible values.

Thus, the number of square feet of vacant office space in a large city is a continuous random variable.

d.

To determine

State whether the random variable is discrete or continuous.

d.

Expert Solution

Answer to Problem 128UP

The variable “The number of voters who favor a new tax proposal” is discrete.

Explanation of Solution

The random variable is “The number of voters who favor a new tax proposal”.

One can count the number of voters who favor a new tax proposal and which is a whole number such as 0, 1, 2, and so on. Thus, the number of voters who favor a new tax proposal is a finite value; it cannot be any possible value between two possible values.

Thus, the number of voters who favor a new tax proposal is a discrete random variable.

Answer 6

Chapter 4, Problem 128UP

a.

To determine

Check whether the random variable is discrete or continuous.

a.

Expert Solution

Answer to Problem 128UP

The variable “The length of time that an exercise physiologist’s program takes to elevate her client’s heart rate to 140 beats per minute” is continuous.

Explanation of Solution

The random variable is “The length of time that an exercise physiologist’s program takes to elevate her client’s heart rate to 140 beats per minute”.

Discrete variable: It is a quantitative variable. It consists of either a finite number of possible values or countable number of possible values. Discrete variable cannot take every possible value between two possible values.

Continuous variable: It is a quantitative variable. It consists of an infinite number of possible values that are not countable. Countable variable can take every possible values between any two possible values.

One can measure the length of time that an exercise physiologist’s program takes to elevate her client’s heart rate to 140 beats per minute but cannot count the length of time that an exercise physiologist’s program takes to elevate her client’s heart rate to 140 beats per minute. Therefore, here, one can take every admissible value between two possible values.

Thus, the length of time that an exercise physiologist’s program takes to elevate her client’s heart rate to 140 beats per minute is a continuous random variable.

Answer 7

Chapter 4, Problem 128UP

a.

To determine

Check whether the random variable is discrete or continuous.

Answer 8

a.

Expert Solution

Answer to Problem 128UP

The variable “The length of time that an exercise physiologist’s program takes to elevate her client’s heart rate to 140 beats per minute” is continuous.

Answer 9

a.

Expert Solution

Answer 10

a.

Expert Solution

Answer 11

Expert Solution

Answer 12

Explanation of Solution

The random variable is “The length of time that an exercise physiologist’s program takes to elevate her client’s heart rate to 140 beats per minute”.

Discrete variable: It is a quantitative variable. It consists of either a finite number of possible values or countable number of possible values. Discrete variable cannot take every possible value between two possible values.

Continuous variable: It is a quantitative variable. It consists of an infinite number of possible values that are not countable. Countable variable can take every possible values between any two possible values.

One can measure the length of time that an exercise physiologist’s program takes to elevate her client’s heart rate to 140 beats per minute but cannot count the length of time that an exercise physiologist’s program takes to elevate her client’s heart rate to 140 beats per minute. Therefore, here, one can take every admissible value between two possible values.

Thus, the length of time that an exercise physiologist’s program takes to elevate her client’s heart rate to 140 beats per minute is a continuous random variable.

Answer 13

b.

To determine

Explain whether the random variable is discrete or continuous.

b.

Expert Solution

Answer to Problem 128UP

The variable “The number of crimes committed on a college campus per year” is discrete.

Explanation of Solution

The random variable is “The number of crimes committed on a college campus per year”.

One can count the number of crimes committed on a college campus per year and which is a whole number like 0, 1, 2, and so on. Thus, the number of crimes committed on a college campus per year is a finite value; it cannot be any value between two possible values.

Thus, the number of crimes committed on a college campus per year is a discrete random variable.

Answer 14

b.

To determine

Explain whether the random variable is discrete or continuous.

Answer 15

b.

Expert Solution

Answer to Problem 128UP

The variable “The number of crimes committed on a college campus per year” is discrete.

Answer 16

b.

Expert Solution

Answer 17

b.

Expert Solution

Answer 18

Expert Solution

Answer 19

Explanation of Solution

The random variable is “The number of crimes committed on a college campus per year”.

One can count the number of crimes committed on a college campus per year and which is a whole number like 0, 1, 2, and so on. Thus, the number of crimes committed on a college campus per year is a finite value; it cannot be any value between two possible values.

Thus, the number of crimes committed on a college campus per year is a discrete random variable.

Answer 20

c.

To determine

State whether the random variable is discrete or continuous.

c.

Expert Solution

Answer to Problem 128UP

The variable “The number of square feet of vacant office space in a large city” is continuous.

Explanation of Solution

The random variable is “The number of square feet of vacant office space in a large city”.

One can measure the square feet of vacant office space in a large city but cannot count the square feet. Therefore, here, one can take any admissible value between two possible values.

Thus, the number of square feet of vacant office space in a large city is a continuous random variable.

Answer 21

c.

To determine

State whether the random variable is discrete or continuous.

Answer 22

c.

Expert Solution

Answer to Problem 128UP

The variable “The number of square feet of vacant office space in a large city” is continuous.

Answer 23

c.

Expert Solution

Answer 24

c.

Expert Solution

Answer 25

Expert Solution

Answer 26

Explanation of Solution

The random variable is “The number of square feet of vacant office space in a large city”.

One can measure the square feet of vacant office space in a large city but cannot count the square feet. Therefore, here, one can take any admissible value between two possible values.

Thus, the number of square feet of vacant office space in a large city is a continuous random variable.

Answer 27

d.

To determine

State whether the random variable is discrete or continuous.

d.

Expert Solution

Answer to Problem 128UP

The variable “The number of voters who favor a new tax proposal” is discrete.

Explanation of Solution

The random variable is “The number of voters who favor a new tax proposal”.

One can count the number of voters who favor a new tax proposal and which is a whole number such as 0, 1, 2, and so on. Thus, the number of voters who favor a new tax proposal is a finite value; it cannot be any possible value between two possible values.

Thus, the number of voters who favor a new tax proposal is a discrete random variable.

Answer 28

d.

To determine

State whether the random variable is discrete or continuous.

Answer 29

d.

Expert Solution

Answer to Problem 128UP

The variable “The number of voters who favor a new tax proposal” is discrete.

Answer 30

d.

Expert Solution

Answer 31

d.

Expert Solution

Answer 32

Expert Solution

Answer 33

Explanation of Solution

The random variable is “The number of voters who favor a new tax proposal”.

One can count the number of voters who favor a new tax proposal and which is a whole number such as 0, 1, 2, and so on. Thus, the number of voters who favor a new tax proposal is a finite value; it cannot be any possible value between two possible values.

Thus, the number of voters who favor a new tax proposal is a discrete random variable.