A water taxi carries passengers from harbor to another. Assume that weights of passengers are normally distributed with a mean of 195 lb and a standard deviation of 41 lb. The water taxi has a stated capacity of 25 passengers, and the water taxi was rated for a load limit of 3750 lb. Complete parts(a) through(d) below.

a. Given that the water taxi was rated for a load limit of 3750 lb, what is the maximum mean weight of the passengers if the water taxi is filled to the stated capacity of 25 passengers?

The maximum mean weight is

lb.(Type an integer or a decimal. Do notround.)

b. If the water taxi is filled with 25 randomly selectedpassengers, what is the probability that their mean weight exceeds the value from part(a)?

The probability is

(Round to four decimal places asneeded.)

c. If the weight assumptions were revised so that the new capacity became 20 passengers and the water taxi is filled with 20 randomly selectedpassengers, what is the probability that their mean weight exceeds 187.5 lb, which is the maximum mean weight that does not cause the total load to exceed 3750 lb?

The probability is

(Round to four decimal places asneeded.)

d. Is the new capacity of 20 passengerssafe?

Since the probability of overloading is under 5 % or over 50 % comma the new capacity appears or doesnotappear to be safe enough?