Question

In: Statistics and Probability

Federal Aviation Administration rules require airlines to estimate the weight of a passenger as 195 pounds,...

Federal Aviation Administration rules require airlines to estimate the weight of a passenger as 195 pounds, including carry-on baggage. Men have weights (without baggage) that are normally distributed with a mean of 172 pounds and a standard deviation of 29 pounds.

a. If one adult male is randomly selected and is assumed to have 20 pounds of carry-on baggage, how likely is it that his total weight is greater than 195 pounds?

b. If a Boeing 767-300 aircraft is full of 213 adult male passengers and each is assumed to have 20 pounds of carry-on baggage, how likely is it that the mean passenger weight (including carry-on baggage) is greater than 195 pounds? Does a pilot have to be concerned about exceeding this weight limit?

Solutions

Expert Solution

a)

New mean = 172+20 = 192

New standard deviation = 29 (standard is uneffected by addition of constant )

b)

Yes a pilot have to be concerned about exceeding this weight limit because the probability of this happening is 6.55% which is not unusual (<5%)

orchestra answered 1 year ago
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