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let X1 X2 ...Xn-1 Xn be independent exponentially distributed variables with mean beta a). find sampling...

let X1 X2 ...Xn-1 Xn be independent exponentially distributed variables with mean beta

a). find sampling distribution of the first order statistic

b). Is this an exponential distribution if yes why

c). If n=5 and beta=2 then find P(Y1<=3.6)

d). find the probability distribution of Y1=max(X1, X2, ..., Xn)

Math   Statistics-And-Probability   
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