A major hurricane is a hurricane with wind speeds of 111 mil

A major hurricane is a hurricane with wind speeds of 111 miles/hour or greater. During the 20th century. the mean number of major hurricanes to strike the U.S. mainland per year was about 0.6. Find the probability that in a given year a. exactly one major hurricane strikes the U.S. mainland b. at most one major hurricane strikes the U.S. mainland c. more than one major hurricane strikes the U.S. mainland

Solution

Solution:

p = 0.6

a. P[exactly one major hurricane] = e^(-0.6)*0.6 = 0.3293 Answer

b. P[atmost one major hurricane] = e^(-0.6)(1+0.6) = 0.8781 Answer

c. P[more than one major hurricane] = 1 - 0.8781= 0.1219 Answer