Solution Found!
Suppose that Y1 and Y2 are uniformly distributed over the
Chapter 5, Problem 11E(choose chapter or problem)
Suppose that \(Y_{1} \text { and } Y_{2}\) are uniformly distributed over the triangle shaded in the accompanying diagram.
a Find \(P\left(Y_1\le3/4,\ Y_2\le3/4\right)\).
b Find \(P\left(Y_{1}-Y_{2} \geq 0\right)\).
Equation Transcription:
Text Transcription:
Y_1 and Y_2
y_2
y_1
P(Y_1</=3/4,Y_2</=3/4)
P(Y_1-Y_2>/=0)
Questions & Answers
QUESTION:
Suppose that \(Y_{1} \text { and } Y_{2}\) are uniformly distributed over the triangle shaded in the accompanying diagram.
a Find \(P\left(Y_1\le3/4,\ Y_2\le3/4\right)\).
b Find \(P\left(Y_{1}-Y_{2} \geq 0\right)\).
Equation Transcription:
Text Transcription:
Y_1 and Y_2
y_2
y_1
P(Y_1</=3/4,Y_2</=3/4)
P(Y_1-Y_2>/=0)
ANSWER:
Step 1 of 3
a) We have to find \(P\left(Y_{1} \leq 3 / 4, Y_{2} \leq 3 / 4\right)\)
The largest area with the height \(3 / 4\) (area with green colour) and with bases \(5 / 4\) and \(1 / 2\)