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

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A water taxi carries passengers from harbor to another. Assume
that weights of passengers are normally distributed with a mean
of
189lb and a standard deviation of 35lb. The water taxi has
a stated capacity of 25 ​passengers, and the water taxi
was rated for a load limit of3500 lb. Complete parts​ (a)
through​ (d) below.
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 175 ​lb, which
is the maximum mean weight that does not cause the total load to
exceed 3500​lb?
The probability is