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 will 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 probability of an earthquake with a magnitude of 6.5 or greater occurring in any given year is 5/100 = 0.05. Therefore, the probability of no such earthquake occurring in a given year is 1 - 0.05 = 0.95. Over 40 years, the probability of no such earthquakes occurring is $0.95^{40}$, which approximately equals 0.1353.

According to Geologists, the San Francisco Bay Area Experiences Five