Homework Statement
If X and Y are independent uniformly distributed random variables between 0 and 1, what is the probability that X^2+Y^2 is less than or equal to one.
Homework Equations
P(Z<1) = P(X^2+Y^2<1)
For z between 0 and 1, P(X^2<z) = P(X < √z) = √z
The Attempt at a Solution...