(4) (20 pts) Let X ~ Bernoulli(p). Define Z = 3x-1. (a) Is Z a random...

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(4) (20 pts) Let X ~ Bernoulli(p). Define Z = 3x-1. (a) Is Z a random variable? Why or why not? (b) Show that EIZ 2p. (c) Show that EZ2 4p. (d) What is the variance of Z?

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