Suppose that a point (x, y) us chosen at random from the rectangle s defined as follows: s={(x, y) : 0< = x < =2 and 1< =y< =4.} a. determine the joint p. d.f. of x and y, the marginal p. d.f. of x, and the marginal p. d.f. of y. b. are x and y independent?

James wants to promote his band on the internet. site a offers website hosting for $4.95 per month with a $49.95 startup fee. site b offers website hosting for $9.95 per month with no startup fee. for how many months would james need to keep the website for site a to be a better choice than site b?