Suppose that Y has density function f (y) = * ky 0, (1 − y), 0elsewhere. ≤ y ≤ 1, a Find the value of k that makes f (y) a probability density function. b Find P(.4 ≤ Y ≤ 1). c Find P(.4 ≤ Y < 1). d Find P(Y ≤ .4|Y ≤ .8). e Find P(Y < .4|Y < .8