2 (c) What is the conditional probability that Y is less than .5 given B? (d) What is fY (y|B)? (e) Sketch the graph of fY (y|B). For what value of y is this conditional density at its maximum? (f) Suppose the selected coin is ipped n times. Let Bk be the event that exactly k heads occur in the n ips. For what value of y is fY (y|Bk ) at its maximum?