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Suppose that the weights of airline passenger bags are normally distributed with a mean of 48.08 pounds and a standard deviation of 3.13 pounds.

A)Let X represent the weight of a randomly selected bag. For what value of c is P(E(X) - c < X < E(X) + c)=0.84? 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 16 that weigh less than 50 lbs? Give your answer to four decimal places.

C)Assuming the weights of individual bags are independent, what is the probability that 12 or fewer bags weigh less than 50 pounds in a sample of size 16? Give your answer to four decimal places.

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