Suppose the probability that a major earthquake occurs on a given day in Fresno, California, is 1 in 10,000.
a. In the next 1,000 days, what is the expected number of major earthquakes in Fresno?
b. If the occurrence of major earthquakes can be modeled by the Poisson distribution, calculate the probability that there will be at least one major earthquake in Fresno during the next 1,000 days.