# Probability and statistics

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

https://brainmass.com/statistics/probability-density-function/probability-statistics-problem-236791

#### Solution Summary

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

$2.19