### Probability Distribution and Expected Value of a Spinner#### Problem StatementA spinner marked off into 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). Complete the following:a) State the range of X.b) Write X 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.#### Solutiona) **What is the range of X?** - The range of X can be found by considering the possible nonnegative differences between the regions where the pointer stops. - **Answer Options:** - A. {1, 2} - B. {0, 1, 2} - C. {1, 2, 3} - D. {0, 1, 2, 3} - **Correct Answer:** - B. {0, 1, 2}b) **Write X as a set of ordered pairs. Choose the correct answer below:** - To write X as a set of ordered pairs, consider each pair of spins and their difference. - **Answer Options:** - A. {(1,1), (1,2), (1,3), (2,1), (2,2), (2,3), (3,1), (3,2), (3,3)} - B. {(1,1), (1,2), (1,3), (2,1), (2,2), (2,3), (3,1), (3,2), (3,3)} with respective differences as needed - C. {(x,y)} such that x-y is the nonnegative difference - D. {(x,y)} such that the set represents unique nonnegative differences - **Correct Answer:** - B. \[\left\{ (1,1), (1,2), (1,3), (2,1), (2,2), (2,3), (3,1), (3,2), (3,3

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Answered: A spinner marked off in three…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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