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A spinner marked off in three equal-sized regions, numbered 1, 2, and 3, is spun twice. Let the random variable X be the nonnegative difference between the numbers of the regions where the pointer stops, and define a probability mass function g(x)=P(X-x) a) State the range of X b) Write g as a set of t of ordered pairs. c) Draw a probability distribution as a histogram. d) Find g(0), and explain what this number represents. e) Find and explain what this number represents. a) What is the range of X? OA. (1.2) OB. (0.1.2) OC. (1, 2, 3, 4) OD. (0. 1. 2. 3. 4) b) Write g as a set of ordered pairs. Choose the correct answer below. OA ( ) ( ) ( ) OB. Oc (-)-(¹)-(²) (¹)-(²)· (~ 3) OD e) Which of the following is the correct histogram of the probability distribution? OA Ос ▬ OB.

A spinner marked off in three equal-sized regions, numbered 1, 2, and 3, is spun twice. Let the random variable X be the nonnegative difference between the numbers of the regions where the pointer stops, and define a probability mass function g(x)=P(X-x) a) State the range of X b) Write g as a set of t of ordered pairs. c) Draw a probability distribution as a histogram. d) Find g(0), and explain what this number represents. e) Find and explain what this number represents. a) What is the range of X? OA. (1.2) OB. (0.1.2) OC. (1, 2, 3, 4) OD. (0. 1. 2. 3. 4) b) Write g as a set of ordered pairs. Choose the correct answer below. OA ( ) ( ) ( ) OB. Oc (-)-(¹)-(²) (¹)-(²)· (~ 3) OD e) Which of the following is the correct histogram of the probability distribution? OA Ос ▬ OB.

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.3: Conditional Probability; Independent Events; Bayes' Theorem
Problem 65E
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A spinner marked off in three equal-sized regions, numbered 1, 2, and 3, is spun twice. Let the random variable X be the nonnegative difference between the numbers of the regions where the pointer stops, and define a probability mass function g(x)=P(X=x). a) State the range of X. b) Write g as a set of ordered pairs. c) Draw a probability distribution as a histogram. d) Find g(0), and explain what this number represents. e) Find μ, and explain what this number represents. a) What is the range of X? O A. (1.2) O B. (0, 1, 2) O C. (1. 2, 3, 4) O D. (0, 1, 2, 3, 4) b) Write g as a set of ordered pairs. Choose the correct answer below. OA. (0) (¹) (²) О в. (¹-3). (².) OC. (0-³). (¹.) · (² ²3 ) (¹7)· (²)· (³³3) O D. c) Which of the following is the correct histogram of the probability distribution? OA O C. L d) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. (Type an exact answer in simplified form. Use the answer from part b to find this answer.) O A. The value of g(0) is and represents the probability the difference of the two spins is 0. O B. The value of g(0) is and represents the average value of the spins. e) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. (Type an integer or decimal rounded to two decimal places as needed.) O A. The mean, H, is, and represents the average value of the spins. OB. Las O D. L
Transcribed Image Text:A spinner marked off in three equal-sized regions, numbered 1, 2, and 3, is spun twice. Let the random variable X be the nonnegative difference between the numbers of the regions where the pointer stops, and define a probability mass function g(x)=P(X=x). a) State the range of X. b) Write g as a set of ordered pairs. c) Draw a probability distribution as a histogram. d) Find g(0), and explain what this number represents. e) Find μ, and explain what this number represents. a) What is the range of X? O A. (1.2) O B. (0, 1, 2) O C. (1. 2, 3, 4) O D. (0, 1, 2, 3, 4) b) Write g as a set of ordered pairs. Choose the correct answer below. OA. (0) (¹) (²) О в. (¹-3). (².) OC. (0-³). (¹.) · (² ²3 ) (¹7)· (²)· (³³3) O D. c) Which of the following is the correct histogram of the probability distribution? OA O C. L d) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. (Type an exact answer in simplified form. Use the answer from part b to find this answer.) O A. The value of g(0) is and represents the probability the difference of the two spins is 0. O B. The value of g(0) is and represents the average value of the spins. e) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. (Type an integer or decimal rounded to two decimal places as needed.) O A. The mean, H, is, and represents the average value of the spins. OB. Las O D. L
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