The total sustained load on the concrete footing of a planned building is the sum of the

Chapter 5, Problem 5.118

(choose chapter or problem)

The total sustained load on the concrete footing of a planned building is the sum of the dead load plus the occupancy load. Suppose that the dead load X1 has a gamma distribution with 1 = 50 and 1 = 2, whereas the occupancy load X2 has a gamma distribution with 2 = 20 and 2 = 2. (Units are in kips.) Assume that X1 and X2 are independent. a Find the mean and variance of the total sustained load on the footing. b Find a value for the sustained load that will be exceeded with probability less than 1/16.

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