The capacity of a building to withstand earthquake forces without damage follows a Gamma distribution with a mean of 2500 tons and a COV of 35%. a) If the building has survived a previous earthquake
Show how the gamma distribution
Question:
The capacity of a building to withstand earthquake forces without damage follows a Gamma distribution with a mean of 2500 tons and a COV of 35%.
a) If the building has survived a previous earthquake with a force of 1500 tons without damage, what is the
b) The occurrence of earthquakes with a force of 2000 tons constitute a Poisson process with an expected occurrence rate of once every 20 years. What is the probability that there will be no damage to the building over a life of 50 years?
c) In a complex of five similiar buildings, each with the same earthquake resistance capacity as describe above, what is the probability that atleast four of them will not be damaged under an earthquake force of 2000tons? Assume that the occurrences of damage to the different buildings are statistically independent.
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