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  3. let x ~ exp(?) mgf of x = ?/(1-t) a) what is mgf o

Let X ~ exp(?) MGF of X = ?/(1-t) a) What is MGF of Y = 3X b)...

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Basic Math

Let X ~ exp(?)

MGF of X = ?/(1-t)

a) What is MGF of Y = 3X

b) Y has a common distribution, what is the pdf of Y?

c) Let X1,X2,....Xk be independent and identically distributedwith Xi ~ exp(?) and S = ? Xi (with i = 1 belowthe summation symbol, and k is on top of the summation symbol).What is the MGF of S?

d) S has a common distribution. What is the pdf of S?

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