Question 1195729: Find the indicated probabilities using the geometric distribution, the Poisson distribution, or the binomial distribution. Then determine if the events are unusual. If convenient, use the appropriate probability table or technology to find the probabilities.
A major hurricane is a hurricane with wind speeds of 111 miles per hour or greater. During the last century, the mean number of major hurricanes to strike a certain country's mainland per year was about 0.44. Find the probability that in a given year (a) exactly one major hurricane will strike the mainland, (b) at most one major hurricane will strike the mainland, and (c) more than one major hurricane will strike the mainland.
Question content area bottom
Part 1
(a) P(exactly one major hurricane will strike the mainland)
enter your response here
(Round to three decimal places as needed.)
Answer by Boreal(15235)   (Show Source):
You can put this solution on YOUR website! Not a fixed number of attempts, so use Poisson.
e^(-0.44)*0.44^1/1!=0.2834 or 0.283 for 1 hurricane
-
for 0 hurricanes it is e^(-0.44)=0.6440 or 0.644
-
For both 0 and 1, the probability is the sum or 0.923.
That is the probability that at most 1 hurricane.
the probability of more than 1 hurricane is the complement off that or 0.077.
|
|
|
