1. [Section 5.1] Assume that a randomly selected subject is given a bone density test. Bone density test scores are normally distributed with a mean of D and standard deviation of 1. If bone density scores in the bottom 33!- and the top 3'96 are the cutoff points for levels that are too low or too high, nd the two readings that are the cutoff 1uralues. [Section 5.1] l|n'u'hen a water taxi sank in Baltimore's Inner Harbor, and investigation revealed that the safe passenger load for the water taxi was 3533 pounds. It was also noted that the mean weight of a passenger was assumed to be 143 pounds. Assume a "wort-case" scenario in which all the passengers are adult men. Assume that the weights of men are normally distributed with a mean of 133.5 pound and a standard deviation of 33.3 pounds a. If one man is randomly selected, nd the probability that he weighs less than 1?4 pounds. b. With a load limit of 3533 pounds, how many male passengers are allowed if we assume the updated mean weight of 133.5 pounds