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Let Y1,Y2,...,Yn denote a random sample of size n from a population with a uniform distribution...

Let Y1,Y2,...,Yn denote a random sample of size n from a population with a uniform distribution on the interval (0,θ). Let Y(n)= max(Y1,Y2,...,Yn) and U = (1/θ)Y(n) .

a) Show that U has cumulative density function

0 ,u<0,

Fu (u) =   un ,0≤u≤1,

1 ,u>1

Math   Statistics-And-Probability   
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