Solved: Suppose that, as in Exercise 5.11, Y1 and Y2 are

Chapter 5, Problem 79E

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QUESTION:

Suppose that, as in Exercise 5.11, \(Y_{1}\) and \(Y_{2}\) are uniformly distributed over the triangle shaded in the accompanying diagram. Find \(E\left(Y_{1} Y_{2}\right)\).

Equation Transcription:

Text Transcription:

Y_1

Y_2

E(Y_1Y_2)

y_2

y_1

Questions & Answers

QUESTION:

Suppose that, as in Exercise 5.11, \(Y_{1}\) and \(Y_{2}\) are uniformly distributed over the triangle shaded in the accompanying diagram. Find \(E\left(Y_{1} Y_{2}\right)\).

Equation Transcription:

Text Transcription:

Y_1

Y_2

E(Y_1Y_2)

y_2

y_1

ANSWER:

Solution:

Step 1 of 2:

 To find for the given diagram.

         

From the above diagram, we know that the equation of line joining (-1,0) and (0,1) is y = x +1.

  And the equation of the line joining (0,1) and (1,0) is y = 1- x.

Then,

       


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