Can you help with part b without using Chebyshe

MATLAB: An Introduction with Applications
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Can you help with part b without using Chebyshev's theorem

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 = 50 and
B, = 2, whereas the occupancy load X, also has a gamma distribution but with a, = 20 and B, = 2.
(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.
Find a value for the sustained load that should be exceeded only with a probability of less
than 1/16.
Transcribed Image Text: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 = 50 and B, = 2, whereas the occupancy load X, also has a gamma distribution but with a, = 20 and B, = 2. (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. Find a value for the sustained load that should be exceeded only with a probability of less than 1/16.
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