Exercise 4.32. The nth factorial moment of a random variable Y is defined as the expectation E[Y(Y −1)···(Y −n+1)]. (a) Suppose that Y ∼ Poisson(μ). Find an exact expression for the nth factorial moment of Y . Hint. Use a similar argument as the one used in the proof of Fact 4.18. (b) Compute the third moment E(Y 3) of Y ∼ Poisson(μ).

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step-by-step explanation:

step-by-step explanation: given equation a = h(b 1+b 2)

also we are given values of a, h and b 1 as :

a = 16, h = 4, and b 1 = 3.

in order to solve it for b 2, we need to plug the given values of   a, h and b 1 .

therefore, plugging values of   a, h and b 1   in given equation, we get

16 = 4( 3 + b 2)

first dividing both sides by 4, we get

4 = 3 + b 2

subtracting 3 from both sides, we get

4 -3 = 3 -3 + b 2

1 = b 2.

the answer is a. q=6,r=6√2

step-by-step explanation: