Let X denote the reaction time, in seconds, to a certain stimulus and Y denote the temperature (F) at which a certain reaction starts to take place. Suppose that the two random variables X and Y have a joint density function
f(x,y)= y, 0 <= x <= 2 and 0 <=y<=1
0, otherwise
Find:
a) P(X^2 + Y^2 <=1)
b) P(X<= squt(Y))