According to geologists,the San Francisco Bay Area experiences five earthquakes with a magnitude of 6.5 or greater every 100 years.What is the probability that no earthquakes with a magnitude of 6.5 or greater strike the San Francisco Bay Area in the next 40 years?
A) 0.0067
B) 0.0337
C) 0.1353
D) 0.2707

Question

Quizplus · Accepted Answer

The average rate of earthquakes is 5 per 100 years, or 0.05 per year. For 40 years, the expected number is 40 * 0.05 = 2. Using the Poisson distribution, the probability of 0 events is e^(-2) = 0.1353.

According to Geologists,the San Francisco Bay Area Experiences Five Earthquakes