Let X1, X2 be a random sample of size n = 2 from a distribution with pdf f(x) = 3x2, 0 <
Chapter 5, Problem 5.3-9(choose chapter or problem)
Let \(X_{1}\), \(X_{2}\) be a random sample of size \(n=2\) from a distribution with pdf \(f(x)=3 x^{2}, 0<x<1\). Determine
(a) \(P\left(\max X_{i}<3 / 4\right)=P\left(X_{1}<3 / 4, X_{2}<3 / 4\right)\).
(b) The mean and the variance of \(Y=X_{1}+X_{2}\).
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