Suppose the hts oF lB-yearold men are approximately normally 0' tributed', with mean 72 inches and standard devia 6 inches. {a} What is the probability that an 13-year-old man selecbed at random is between 71 and ?3 inches tall? {Round your answer to Four decimal places.) {b} Ifa random sample of nineteen 18-year-old men is selected. what is the probability that the mean height ; is between 7]. and 73 inches? (Round your answer to four decimal places.) {c} Compare your answers to parts [a] and (b). Is the probabilityI in part (b) much higher? WhyI would you expect this? 0 The probability. in part (b) is much higher because the standard deviation is smaller for the ; distribution. 0 The probability. in part (b) is much higher because the standard deviation is larger For the; distribution. 0 The probability in part (b) is much higher because the mean is larger for the ;distribution. 0 The probability in part {b} is much higher because the mean is smaller for the ; distribution. 0 The probability in part (b) is much lower because the standard deviation is smaller for the ;distribution