meganpancoast meganpancoast

14-04-2024
Mathematics

Answered

A water taxi carries passengers from harbor to another. Assume that weights of passengers are normally distributed with a mean of 199 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.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

150 lb.
(Type an integer or a decimal. Do not round.)
Part 2
b. If the water taxi is filled with 25 randomly selected passengers, what is the probability that their mean weight exceeds the value from part (a)?

Answer :

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