The probability density function of the weight of packages delivered by a post office is f (x)

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The probability density function of the weight of packages delivered by a post office is f (x) = 70 / (69x2) for 1 < x < 70 pounds.

(a) Determine the mean and variance of weight.

(b) If the shipping cost is $2.50 per pound, what is the average shipping cost of a package?

(c) Determine the probability that the weight of a package exceeds 50 pounds.

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Applied Statistics And Probability For Engineers

ISBN: 9781118539712

6th Edition

Authors: Douglas C. Montgomery, George C. Runger

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