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The Weight of Baggage Checked by Airline Passengers Is a Random

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The weight of baggage checked by airline passengers is a random variable with a mean of 50 pounds and a standard deviation of 30 pounds. The total baggage limit for 100 randomly selected passengers is 5,750 pounds.
What is the mean of the sampling distribution of the sum of the sample measurements?
______________
What is the standard deviation of the sampling distribution of the sum of the sample measurements?
______________
What is the approximate probability the baggage limit will be exceeded?
______________

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