Let U1, . . . ,Un be independent uniform random variables,
Chapter , Problem 80(choose chapter or problem)
Let \(U_1, \ldots ,U_n\) be independent uniform random variables, and let V be uniform and independent of the \(U_i\).
a. Find \(P(V \leq U_{(n)})\).
b. Find \(P(U_{(1)} < V < U_{(n)})\).
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