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Intro Stats / AP Statistics
Before every flight, the pilot must verify that the total
weight of the load is less than the maximum allowable load for the
aircraft. The aircraft can carry 36 passengers, and a flight has
fuel and baggage that allows for a total passenger load of 5,796
lb. The pilot sees that the plane is full and all passengers are
men. The aircraft will be overloaded if the mean weight of the
passengers is greater than 5,796 lbs / 36=161 lb. What is the
probability that the aircraft is overloaded? Should the pilot take
any action to correct for an overloaded aircraft? Assume that
weights of men are normally distributed with a mean of 181.1 lb and
a standard deviation of 37.3. The probability is approximately ___.
(Round to four decimal places as needed.