(a) Calculate the probability of getting exactly 12 correct answers by guessing. (b) Calculate the probability of getting at most 18 correct answers by guessing. (c) Calculate the probability of getting at least 2 correct answers by guessing. (d) Determine the expected value E(X) for this probability distribution. 2) Using the standard deck of 52 playing cards, you wish to draw cards which are only diamonds. You draw 6 cards in total, replacing each one after it has been drawn. (a) Calculate the probability of 4 "successes," that is, drawing exactly 4 diamonds. (b) Calculate the probability of drawing at least 2 diamonds. (c) Calculate the probability of drawing at most 5 diamonds