STATISTICS 200-When a water taxi sank in Baltimore’s Inner Harbor,
When a water taxi sank in Baltimore’s Inner Harbor, an investigation revealed that the safe passenger load for the water taxi was 3500 pounds. It was also noted that the mean weight of a passenger was assumed to be 140 pounds. Assume a “worst-case” scenario in which all of the passengers are adult men. (This is a valid assumption since Baltimore frequently hosts conventions and conferences in which people of the same gender often travel in groups). Assume that weights of men are normally distributed with a mean of 182.9 pounds and a standard deviation of 40.8 pounds.a. If one man is randomly selected, find the probability that he weighs less than 174 pounds (the new value suggested by the National Transportation Safety Board).b. With a maximum load limit of 3500 pounds, how many male passengers are allowed if we assume a mean weight of 140 pounds?c. With a maximum load limit of 3500 pounds, how many male passengers are allowed if we assume a mean weight of 182.9 pounds.d. Why is it necessary to periodically review and revise the number of passengers that are allowed on board?
