Question: Exercise 2.26 Let X be a discrete random variable having the Poisson distribution with parameter , and let Y = | sin( 1 2 X)|.

Exercise 2.26 Let X be a discrete random variable having the Poisson distribution with parameter λ, and let Y = | sin( 1 2π X)|. Find the mass function of Y .

2.4 Expectation Consider a fair die. If it were thrown a large number of times, each of the possible outcomes 1, 2, . . . , 6 would appear on about one-sixth of the throws, and the average of the numbers observed would be approximately 1

6 · 1 + 1 6 · 2 + · · · + 1 6 · 6 = 7 2 ,

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