Jointly continuous random dependent variables

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Homework Statement

Let X and Y be rv's with joint pdf

f(x,y) = 6(1-y) for 0≤x≤y≤1 and 0 elsewhere

find Pr(X≤3/4, Y≤1/2)

Homework Equations

The Attempt at a Solution

Ok I am having trouble with finding the right limits of integration for dependent variables. If we let the inner integral be for x would the limits be 0 to y? Then would y be 1/2 to 1?

 

[LCKurtz]

Homework Statement

Let X and Y be rv's with joint pdf

f(x,y) = 6(1-y) for 0≤x≤y≤1 and 0 elsewhere

find Pr(X≤3/4, Y≤1/2)

Homework Equations

The Attempt at a Solution

Ok I am having trouble with finding the right limits of integration for dependent variables. If we let the inner integral be for x would the limits be 0 to y? Then would y be 1/2 to 1?

No. Have you drawn a picture of the region?