(1)[10 pts] For the next three questions, suppose we have two continuous random variables, X, Y, whose joint density function is dened by: f(x,y) = 10:, if x2 +y2 51 f{x, )= 0, otherwise a) What's the probability that X E 0 A Y E 0'? I b) Are these two events independent? Explain why or why not. (2) [30pts] Use the following facts) to calculate normalized values for P(B!A) and P(IBEA): P(A) = 0.0025 P(B) = 0.015 P(A|B) = 0.6 P(A|oB) = 0.25