In: Statistics and Probability
A statistical program is recommended.
Suppose that the magnitude of earthquakes recorded in a region of North America can be modeled as having a gamma distribution with α = 0.8 and β = 2.6.
(b) What is the probability that the magnitude of an earthquake striking the region will exceed 5 on the Richter scale? (Round your answer to four decimal places.)
(c) Using an exponential distribution with mean 2.6 to model the magnitude of an earthquake striking the region, the probability an earthquake will exceed a magnitude of 5 is 0.1462. Is this probability larger or smaller than the probability found in (b)? Explain.