Step 1 :

Passenger load for the water taxi was 3500 lb.

Mean weight of men is 182.9 lb.

Standard deviation of men is 40.8 lb.

(c)

If one man is randomly selected.

Find the probability that he weight should not exceed 175 lb.

Probability of man weight exceeds 175 lb is .

Standardize x to z using z - Score formula.

z - Score formula is .

Where σ is standard deviation,

         μ is the mean.

From z - score table the probability is .

Therefore,  .

Solution :

Note:

Using TI-84,

You need to type in your calculator as shown below.

normalcdf(-1.05,100)

Then you will get .

Step 1 :

(d)

Passenger load for the water taxi was 3500 lb.

Mean weight of men is 175 lb.

Find the number of passengers are allowed to travel with specifications.

Number of passengers are allowed to travel = .

Thus, the number of passengers are allowed to travel is 20.

Solutions:

Therefore Mean weight of passengers of passengers allowed is 140 lb.