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In: Statistics and Probability

Suppose that the weights of airline passenger bags are normally distributed with a mean of 48.01...

Suppose that the weights of airline passenger bags are normally distributed with a mean of 48.01 pounds and a standard deviation of 3.6 pounds.

a) What is the probability that the weight of a bag will be greater than the maximum allowable weight of 50 pounds? Give your answer to four decimal places.

b) Assume the weights of individual bags are independent. What is the expected number of bags out of a sample of 11 that weigh greater than 50 lbs? Give your answer to four decimal places.

c) Assuming the weights of individual bags are independent, what is the probability that 4 or fewer bags weigh greater than 50 pounds in a sample of size 11? Give your answer to four decimal places.

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