Answer to Question #334018 in Statistics and Probability for Dinor123

Question #334018

a) Let X, Y and Z be three independent exponential random variables with respectively means 1/λ1 , 1/λ2 and 1/λ3


. Find the P(X < Y < Z).


(b) Given that a random variable X has a Poisson distribution with parameter λ. Find E[cos(πx)],


if E(x) = ln 2.

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