A spinner marked off in four equal-sized regions, numbered 1, 2, 3, and 4, 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(2), and explain what this number represents. e) Find μ, and explain what this number represents. a) What is the range of X? A. (0, 1, 2, 3, 4, 5) OB. (1, 2, 3, 4, 5) OC. (1, 2, 3) OD. (0, 1, 2, 3) b) Write g as a set of ordered pairs. Choose the correct answer below. (₁. 7/6). (2. -4/6). (³. -²/6) 1, 16 16 16 O A. OB. O C. 4 (0.6). (1.6) (2.6). (³.726) 0, 1, 2₁ 16 16 16 O D. 4 4 2 (¹.6). (2. 6)· (³.6) (476) 2, 3, 16 16' 16 16 1 - (0.756). (1. -765)· (2 716)· (² 716) 16 16 c) Which of the following is the correct histogram of the probability distribution? O A. Q Q U 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.) OA. The value of g(2) is OB. The value of g(2) is O B. and represents the probability the difference of the two spins is 2. 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.) OA. The mean, u, is, and represents the average value of the spins. OB. The mean, μ, is, and represents the probability and represents the probability of landing on one of the regions. a Q SITTD OC. Q U OD. U
A spinner marked off in four equal-sized regions, numbered 1, 2, 3, and 4, 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(2), and explain what this number represents. e) Find μ, and explain what this number represents. a) What is the range of X? A. (0, 1, 2, 3, 4, 5) OB. (1, 2, 3, 4, 5) OC. (1, 2, 3) OD. (0, 1, 2, 3) b) Write g as a set of ordered pairs. Choose the correct answer below. (₁. 7/6). (2. -4/6). (³. -²/6) 1, 16 16 16 O A. OB. O C. 4 (0.6). (1.6) (2.6). (³.726) 0, 1, 2₁ 16 16 16 O D. 4 4 2 (¹.6). (2. 6)· (³.6) (476) 2, 3, 16 16' 16 16 1 - (0.756). (1. -765)· (2 716)· (² 716) 16 16 c) Which of the following is the correct histogram of the probability distribution? O A. Q Q U 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.) OA. The value of g(2) is OB. The value of g(2) is O B. and represents the probability the difference of the two spins is 2. 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.) OA. The mean, u, is, and represents the average value of the spins. OB. The mean, μ, is, and represents the probability and represents the probability of landing on one of the regions. a Q SITTD OC. Q U OD. U
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Transcribed Image Text:A spinner marked off in four equal-sized regions, numbered 1, 2, 3, and 4, 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(2), and explain what this number represents.
e) Find μ, and explain what this number represents.
a) What is the range of X?
OA. (0, 1, 2, 3, 4, 5)
OB. (1, 2, 3, 4, 5)
O C. (1, 2, 3)
O D. {0, 1, 2, 3}
b) Write g as a set of ordered pairs. Choose the correct answer below.
6
2
O A.
O B.
O C.
O D.
2,16
(1¹, 9/6). (2, 4/6). (3.
(1. 46). 96). (3.-4/6). (4. -7/6)
O A.
4
c) Which of the following is the correct histogram of the probability distribution?
Q
M
OB.
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(2) is
and represents the probability the difference of the two spins is 2.
OB. The value of g(2) 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.)
OA. The mean, μ, is
and represents the average value of the spins.
OB. The mean, μ, is
and represents the probability of landing on one of the regions.
OC.
h
G
O D.
Q
U
2
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 3 steps with 2 images
Recommended textbooks for you
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman