5.73 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 X, has a gamma distribution with a B = 2, whereas the occupancy load X, also has a gamma distribution but with a, (Units are in kips, or thousands of pounds.) Find the mean, the variance, and the probability density function of the total sustained load on the footing. = 50 and = 20 and B, = 2. b Find a value for the sustained load that should be exceeded only with a probability of less than 1/16.

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5.73 The total sustained load on the concrete footing of a planned building is the sum of the dead load
50 and
plus the occupancy load. Suppose that the dead load X, has a gamma distribution with a,
20 and B,
2.
B1 = 2, whereas the occupancy load X, also has a gamma distribution but with
(Units are in kips, or thousands of pounds.)
Find the mean, the variance, and the probability density function of the total sustained load on
the footing.
b
Find a value for the sustained load that should be exceeded only with a probability of less
than 1/16.
Transcribed Image Text:5.73 The total sustained load on the concrete footing of a planned building is the sum of the dead load 50 and plus the occupancy load. Suppose that the dead load X, has a gamma distribution with a, 20 and B, 2. B1 = 2, whereas the occupancy load X, also has a gamma distribution but with (Units are in kips, or thousands of pounds.) Find the mean, the variance, and the probability density function of the total sustained load on the footing. b Find a value for the sustained load that should be exceeded only with a probability of less than 1/16.
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