When a water taxi sank in baltimore's inner harbor an investigation revealed that the safe passenger load for the water taxi was 3500 lb. It was also noted that the mean weight of passengers was assumed to be 140 lb. Assume the "worst case" scenario in which all of the the passengers are adult men. Assume that weights of men are normally distributed with a mean of 188.6 lb and a standard deviation of 38.9 lb.

1.) If one man is randomly selected find the probability that he weighs less than 174 lb.

2.) With a load limit of 3500 lb how many male passengers are allowed if we assume a mean weight of 140 lb.

3.) with a load limit of 3500 lb how many passengers are allowed if we assume the updated mean weight of 188.6 lb.

4.) Why is it necessary to periodically review and revise the number of passengers that are allowed to board?

*Please explain answers to get a better understanding