Solution Found!
Let Y1 and Y2 have joint density function a What is P(Y1 <
Chapter 5, Problem 7E(choose chapter or problem)
Let \(Y_{1} \text { and } Y_{2}\) have joint density function
\(f\left(y_{1}, y_{2}\right)=\left\{\begin{array}{ll}
e^{-\left(y_{1}+y_{2}\right)}, & y_{1}>0, y_{2}>0, \\
0, & \text { elsewhere. }
\end{array}\right.
\)
a What is \(P\left(Y_{1}<1, Y_{2}>5\right)\)?
b What is \(P\left(Y_{1}+Y_{2}<3\right)\))?
Equation Transcription:
Text Transcription:
Y_1 and Y_2
f(y_1,y_2)=
e-(y_1+y_2), y_1>0, y_2>0,
0, elsewhere.
P(Y_1<1,Y_2>5)
P(Y_1+Y_2< 3)
Questions & Answers
QUESTION:
Let \(Y_{1} \text { and } Y_{2}\) have joint density function
\(f\left(y_{1}, y_{2}\right)=\left\{\begin{array}{ll}
e^{-\left(y_{1}+y_{2}\right)}, & y_{1}>0, y_{2}>0, \\
0, & \text { elsewhere. }
\end{array}\right.
\)
a What is \(P\left(Y_{1}<1, Y_{2}>5\right)\)?
b What is \(P\left(Y_{1}+Y_{2}<3\right)\))?
Equation Transcription:
Text Transcription:
Y_1 and Y_2
f(y_1,y_2)=
e-(y_1+y_2), y_1>0, y_2>0,
0, elsewhere.
P(Y_1<1,Y_2>5)
P(Y_1+Y_2< 3)
ANSWER:
Solution :
Step 1 of 2:
Let and
have joint density function.
Then the joint density function and
is
Our goal is:
a). We need find .