Question: Question 3 Let X1, X2,..., X, be independent random variables, each having a uniform distri- bution over (0,1). Let M = maximum (X1, X2,...,

Question 3 Let X1, X2,..., X, be independent random variables, each having a uniform distri- bution over (0,1). Let M = maximum (X1, X2,..., X,). Show that the distribution function of M, FM(), is given by FM(x)=x", 0x1 What is the probability density function of M?

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