Question

The joint probability density function for two continuous random variables is: f(y1,y2) = k(y1^2 + y2)...

The joint probability density function for two continuous random variables is:
f(y1,y2) = k(y1^2 + y2)
for 0 <= y2 <= 1-y1^2

Find the value of the constant k so that this makes f(y1,y2) a valid joint probability density function.

Also compute (integration) P(Y2 >= Y1 + 1)
Math   Statistics-And-Probability   
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Answer #1

For to be a valid joint pdf, the following condition must hold:

Substituting the values in the above condition:

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