Let x be a discrete random variable with PR mass function f(x)=2(1/3)^x, x=1,2,3.. A) Compute Mx(t)...

Question

Question

Let x be a discrete random variable with PR mass function f(x)=2(1/3)^x, x=1,2,3..
A) Compute Mx(t)
B) Compute M'1=EX, M'2=EX^2

Answer 1

Answer #1

A)

The MGF is

B)

Now, differentiating with respect to t gives

Putting t=0 gives

Differentiating with respect to t again gives

Putting t=0 gives

Answer 2

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