1. ## multivariable

given that f(x,y)= 6(1-y) for 0<x<y<1

find P(Y>3 l x=0.5)

i know that the denominator is the marginal density of x=0.5 but how do i find the numerator since the given condition is a constant..how do i know the range that x varies if i were to use double integral?

thanks

2. Originally Posted by alexandrabel90
given that f(x,y)= 6(1-y) for 0<x<y<1

find P(Y>3 l x=0.5)

i know that the denominator is the marginal density of x=0.5 but how do i find the numerator since the given condition is a constant..how do i know the range that x varies if i were to use double integral?

thanks
The numerator is of the conditional pdf is f(x, y) which you are given. Then calculate Pr(Y > 3 | X) and substitute x = 0.5 into the result.

You are advised to review examples from your textbook or class notes.