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X and Y are jointly continuous with distribution f(x,y) = .5y^2 for 0 <=x <= y...

X and Y are jointly continuous with distribution f(x,y) = .5y^2 for 0 <=x <= y < infinity

What is the probability that X <= 4 given that Y = 5?

What is the probability that X <= 4 given that Y <= 5?

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Answer #1

Though the joint pdf given in the question is wrong since it's total probability is not 1 instead it's infinity but the approach i have used in part a and b is correct. You cam apply the same approach with a correct pdf.

Feel free to ask any doubts in the comments! Hope it helps!

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