# Math Help - Continuous R.V

1. ## Continuous R.V

If X and Y are continuous random variables with joint probability density function

a) Calculate P[2X^2 <Y]

b)

Any help would be appreciated

2. Hello,
Originally Posted by matty888
If X and Y are continuous random variables with joint probability density function

a) Calculate P[2X^2 <Y]
$P(2X^22X^2}\right) =\int_0^1 \int_0^1 f_{X,Y}(x,y) \bold{1}_{y>2x^2} ~dy ~dx$
$=\int_0^1 \int_{2x^2}^1 (x+y) ~dy ~dx$
Can you calculate this ?