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## Main Question or Discussion Point

Suppose a sample of random size N is taken from the continuous uniform(0, θ)

distribution, and N has a discrete distribution with p.m.f.

P (N = n) = 1/(n! (e − 1) ) for n = 1, 2, 3, . . . .

Determine the distribution of the

i) first order statistic (the minimum) of X1 , X2, . . . , XN .

ii) highest order statistic (the maximum) of X1, X2, . . ., XN .

Please help me to solve this problem.

distribution, and N has a discrete distribution with p.m.f.

P (N = n) = 1/(n! (e − 1) ) for n = 1, 2, 3, . . . .

Determine the distribution of the

i) first order statistic (the minimum) of X1 , X2, . . . , XN .

ii) highest order statistic (the maximum) of X1, X2, . . ., XN .

Please help me to solve this problem.