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Probability and statistics

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The distribution function of the random variable Y is given by

F(y) = {1 - 9/y2 for y > 3
0 elsewhere
}
Find P(X < 5) and P(Y > 8)

If the joint probability density of X and Y is given by

f(x, y) = {24y (1 - x - y) for x > 0, y > 0, x + y < 1
0 else where
}

Find
a) the marginal density of X
b) the marginal density of Y

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Solution Summary

The solution contains the determination of marginal PDF's from joint PDF.

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