Let X and Y be independent discrete random variables with the following PDFs: x 0 1...

Let X and Y be independent discrete random variables with the following PDFs:

x	0	1	2
f(x)=P[X=x]	0.5	0.3	0.2

y	0	1	2
g(y)= P[Y=y]	0.65	0.25	0.1

(a) Show work to find the PDF h(w) = P[W=w] = (f*g)(w) (the convolution) of W = X + Y

(b) Show work to find E[X], E[Y] and E[W] (note that E[W] = E[X]+E[Y])

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Expert Solution

orchestra answered 1 year ago

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