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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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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Get started for freeLet \(X_{1}, X_{2}\) have the joint pdf \(f\left(x_{1}, x_{2}\right)=1 / \pi,
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Show that the function \(F(x, y)\) that is equal to 1 provided that \(x+2 y \geq 1\), and that is equal to zero provided that \(x+2 y<1\), cannot be a distribution function of two random variables.
Let \(X\) and \(Y\) have the joint pdf \(f(x, y)=1,-x
Suppose \(X_{1}\) and \(X_{2}\) are discrete random variables which have the joint pmf \(p\left(x_{1}, x_{2}\right)=\left(3 x_{1}+x_{2}\right) / 24,\left(x_{1}, x_{2}\right)=(1,1),(1,2),(2,1),(2,2)\), zero elsewhere. Find the conditional mean \(E\left(X_{2} \mid x_{1}\right)\), when \(x_{1}=1\)
Let \(X_{1}, X_{2}, X_{3}\) be iid with common pdf \(f(x)=\exp (-x), 0
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