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 43 lb. The water taxi has a stated capacity of 25 ​passengers, and the water taxi was rated for a load limit of 3750 lb.  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

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