A boat capsized and sank in a lake. Based on an assumption of a mean weight of145 lb, the boat was rated to carry 50 passengers (so the load limit was 7, 250 lb). After the boat sank, the assumed mean weight for similar boats was changed from 145lb to 175 lb.Assume that a similar boat is loaded with 50 Passengers, and assume that the weights of people are normally distributed with a mean of 181.6lb and a standard deviation of 36.6lb. Find the probability that the boat is overloaded because the 50 passengers have a mean weight greater than 145lb.The probability is _____________
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