The probability density function of the weight of packages, Ask an Expert

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The probability density function of the weight of packages delivered by a post office is f(x) = 70/69x^2 for 1 < x < 70 pounds.

a) Determine the mean and variance of weight. Round your answers to two decimal places (e.g. 98.76).

Mean = 4.31 pounds

Variance = 51.42 pounds2

b) If the shipping cost is $2.50 per pound, what is the average shipping cost of a package? Round your answer to two decimal places (e.g. 98.76).

10.78 pounds

c) Determine the probability that the weight of a package exceeds 51 pounds. Round your answer to four decimal places (e.g. 98.7654).

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Statistics and Probability, Statistics

Category:- Statistics and Probability
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