Let Y1 and Y2 have the joint probability density function given by f (y1, y2) = k(1 y2)

Chapter 5, Problem 5.9

(choose chapter or problem)

Let \(Y_{1}\) and \(Y_{2}\) have the joint probability density function given by

\(f\left(y_{1}, y_{2}\right)=\left\{\begin{array}{ll}
k\left(1-y_{2}\right), & 0 \leq y_{1} \leq y_{2} \leq 1 \\
0, & \text { elsewhere. }
\end{array}\right.\)

a Find the value of k that makes this a probability density function.

b Find \(P\left(Y_{1} \leq 3 / 4, Y_{2} \geq 1 / 2\right)\).

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