A spinner marked off in four equal-sized regions, numbered 1, 2, 3, and 4, is sp

Question

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(0), and explain what this number represents e) Find and explain what this number represents a) What is the range of X? @) A, {0, 1.2.3) O B. (0, 1, 2, 3,4, 5 OC. {1,2,3,4,5) D. {1, 2, 3} b) Write g as a set of ordered pairs. Choose the correct answer below OA. 1 OB, 10, 6 16 2 16 16 16 16 16 16 616

Explanation / Answer

a) Option-A)

b) Opyion-D)

c) Option-A) is the correct graph

d) Option-B) Yhe value of g(0) is 4/16 or 1/4 and represents the probability the difference of the two spins is 0

e) Mean = 0 * 4/16 + 1 * 6/16 + 2 * 4/16 + 3 * 2/16 = 1.25

Option-A) The mean , is 1.25 , and represents the average value of the spins

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