Question

In 1898, L. J. Bortkiewicz published a book entitled The Law of Small Numbers. He used data collected over 20 years to show that the number of soldiers killed by horse kicks each year in each corps in the Prussian cavalry followed a Poisson distribution with a mean of 0.61. (a) What is the probability of more than 1 death in a corps in a year

Answer 1

Answer: Hence, Probability of more than 1 death in a corps in a year is 0.126.

Step-by-step explanation:

Since we have given that

Mean for a poisson distribution (λ) = 0.61

Number of years = 20 years

We need to find the probability of more than 1 death  in a corps in a year.

P(X>1)=1-P(X=0)-P(X=1)

Here,

$P(X=0)=\dfrac{e^{-0.61}(0.61)^0}{0!}=0.543\\\\and\\\\P(X=1)=\dfrac{e^{-0.61}(0.61)}{1}=0.331$

So,

P(X>1)=1-0.543-0.331=0.126

Hence, Probability of more than 1 death in a corps in a year is 0.126.