Chapter 2: Problem 2
Let \(f_{1 \mid 2}\left(x_{1} \mid x_{2}\right)=c_{1} x_{1} / x_{2}^{2},
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Short Answer
Expert verified
\(c_{1} = 2x_{2}\), \(c_{2} = 5\), the joint pdf of \(X_{1}\) and \(X_{2}\) is \(2x_{1}x_{2}^{3}\), \(P\left(\frac{1}{4}<X_{1}<\frac{1}{2} \mid X_{2}=\frac{5}{8}\right) = 0.4375\), and \(P\left(\frac{1}{4}<X_{1}<\frac{1}{2}\right) = 0.1302\)