Re: Order statistics problem

Andrej wrote:
> I don't know where to start...
>
> Let U_1,...,U_n be independent uniform random variables, and let V be
> uniform and independent of the U_i.
> a) Find P(V <= U_n)
> b) Find P(U_1 < V < U_n)
>
> Any suggesstion. Thanks in advance.

If U_1,...,U_n,V are iid continuous RVs then all orderings are equally
probable.

.

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