Suppose that the weights of airline passenger bags are normally distributed with a mean of 47.88 pounds and a standard deviation of 3.09 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) Let X represent the weight of a randomly selected bag. For what value of c is P(E(X) - c < X < E(X) + c)=0.87? Give your answer to four decimal places.  c) Assume the weights of individual bags are independent. What is the expected number of bags out of a sample of 16 that weigh greater than 50 lbs? Give your answer to four decimal places.

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