Suppose the weight of pieces of passenger luggage for domestic airline flights follows a normal distribution with μ = 32 pounds and σ = 5.2 pounds. (a) Calculate the probability that a piece of luggage weighs less than 35.7 pounds. (Assume that the minimum weight for a piece of luggage is 0 pounds.) (b) Calculate the weight where the probability density function for the weight of passenger luggage is increasing most rapidly. lb (c) Use the Empirical Rule to estimate the percentage of bags that weigh more than 21.6 pounds. % (d) Use the Empirical Rule to estimate the percentage of bags that weigh between 26.8 and 42.4. % (e) According to the Empirical Rule, about 84% of bags weigh less than pounds.

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