The probability that a randomly selected box ofa certain type of cereal has a particular prize is 0.4. Suppose you purchase box after box until you have obtained two of these prizes. (a) What is the probability that you purchase x boxes that do not have the desired prize? O nb[x; 2, 4, 10) h[x; 2, 0.4) b(x; 2, 0.4) b(x; 2, 4, 10) nb[x; 2, 0.4} OOOO h[x; 2, 4, 10) I (b) What is the probability that you purchase four boxes? (Round your answer to four decimal places] :I (c) What is the probability that you purchase at most four boxes? (Round your answer to four decimal places.) : (d) How many boxes without the desired prize do you expect to purchase? : How many boxes do you expect to purchase