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In response to the increasing weight of airline passengers, the Federal Aviation Administration (FAA) told airlines to assume that passengers average 200 pounds in the summer, including clothes and carry-on baggage. But passengers vary, and the FAA did not specify a standard deviation. A reasonable standard deviation is 35 pounds. Weights are not Normally distributed, especially when the population includes both men and women, but they are not very non-Normal. A commuter plane carries 30 passengers.

Required:
Explain why you cannot calculate the probability that a randomly selected passenger weighs more than 200 pounds.

Respuesta :

Answer:

Because we don't know the exact shape of the population distribution since they are not Normally distributed and they are also not very non-Normal

Step-by-step explanation:

We are given;

Population standard deviation;μ = 200

Population standard deviation; σ = 35

Sample size; n = 30

We are told that the weights are not Normally distributed and they are also not very non-Normal. Therefore it means we don't know the exact shape of the population distribution and as such we can't calculate the probability that a randomly selected passenger weighs more than 200 pounds.