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Part 1
A boat capsized and sank in a lake. Based on an assumption of a mean weight of 132 ​lb, the boat was rated to carry 50 passengers​ (so the load limit was 6 comma 600 ​lb). After the boat​ sank, the assumed mean weight for similar boats was changed from 132 lb to 170 lb. Complete parts a and b below.
Question content area bottom
Part 1
a. Assume that a similar boat is loaded with 50 ​passengers, and assume that the weights of people are normally distributed
with a mean of 175.7 lb and a standard deviation of 36.5 lb. Find the probability that the boat is overloaded because the 50 passengers have a mean weight greater than 132 lb.
The probability is

enter your response here.
​(Round to four decimal places as​ needed.)