Solution Found!
Solved: Let Y1 and Y2 have the joint probability density
Chapter 5, Problem 9E(choose chapter or problem)
Let \(Y_{1} \text { and } Y_{2}\) 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 \(P\left(Y_{1} \leq 3 / 4, Y_{2} \geq 1 / 2\right)\).
Equation Transcription:
Text Transcription:
Y1 and Y2
f(y1,y2)=
k(1-y2), 0y1y21,
0, elsewhere.
P(Y13/4,Y21/2)
Questions & Answers
QUESTION:
Let \(Y_{1} \text { and } Y_{2}\) 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 \(P\left(Y_{1} \leq 3 / 4, Y_{2} \geq 1 / 2\right)\).
Equation Transcription:
Text Transcription:
Y1 and Y2
f(y1,y2)=
k(1-y2), 0y1y21,
0, elsewhere.
P(Y13/4,Y21/2)
ANSWER:
Solution:
Step 1 of 3:
It is given that the joint probability function of is
f(
Using this we need to find the required values.