70 - for 1 < x < 70 pounds. 69x² The probability density function of the weight of packages delivered by a post office is f(x) = a) Determine the mean and variance of weight. Mean = pounds (Round the answer to 2 decimal places.) Variance = pounds? (Round the answer to 1 decimal place.) b) If the shipping cost is $2.50 per pound, what is the average shipping cost of a package? $ i (Round the answer to 1 decimal place.) c) Determine the probability that the weight of a package exceeds 59 pounds.

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