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Chapter 4: Q.4.14 (page 174)

On average, 5.2hurricanes hit a certain region in a year. What is the probability that there will be 3or fewer hurricanes hitting this year?

Short Answer

Expert verified

The required probability is0.23807

Step by step solution

01

Given Information 

Given in the question that, on average, 5.2hurricanes hit a certain region in a year.

We need to find the probability that there will be 3 or fewer hurricanes hitting this year.

02

Explanation 

Here,

Average =5.2hurricanes per year

That means the hurricane is likely to occur over a specified period.

Therefore, it is a Poisson distribution

Hence,

P(3orfewerhurricanes)

=P(0)+P(1)+P(2)+P(3)

=e鈭�5.25.200!+e鈭�5.25.211!+e鈭�5.25.222!+e鈭�5.25.233!

=0.238

03

Final Answer 

The required probability is0.23807

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