K A water taxi carries passengers from harbor to another, Assume that weights of passengers are normally distributed with a mean of 201 lb and a standard deviation of 39 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 not round.) Ir
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A water taxi carries passengers from harbor to another. Assume that weights of passengers are
a load limit of 3750 lb. Complete parts (a) through (d) below.
K
a. Given that the water taxi was rated for a load limit of 3750 Ib. 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 not round.)
b. If the water taxi is filled with 25 randomly selected passengers, what is the
The probabillty is .
(Round to four decimal places as needed.)
c. If the weight assumptions were revised so that the new capacity became 20 passengers and the water taxi is filled with 20 randomly selected passengers, 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 probabilty is
(Round to four decimal places as needed.)
d. Is the new capacity of 20 passengers safe?
Since the probability of overloading is
the new capacity
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