(12) It has been conjectured that Rogaine grows hair in about 80% of bald men. A consumer group wanted to test this claim by asking 100 bald men to try the medicine for one year. The consumer group will accept the claim if more than 75% of the users have some hair growth. What is the probability that the claim will be rejected even when hair growth rate due to the medicine is 0.80? The following ``answers\'\' have been proposed. (a) The probability lies in the interval (0,0.05] , (b) The probability lies in the interval (0.05,0.10] , (c) The probability lies in the interval (0.10,0.15] , (d) The probability lies in the interval (0.15,0.20] , (e) None of the above. Solution (c) The probability lies in the interval (0.10,0.15] ,.