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. Required:
a. What is the probability of more than 1 death in a corps in a year?
b. What is the probability of no deaths in a corps over five years?

a. 0.1252

b. 0.04736

Step-by-step explanation:

Let X denotes a  the number of soldiers killed by horse kicks in a year such that it has a Poisson distribution with mean .

Poisson distribution formula:

a.    

Hence, the probability of more than 1 death in a corps in a year= 0.1252

b.  For five years, Mean =

Hence,  the probability of no deaths in a corps over five years = 0.04736

the answer   is 200

step-by-step explanation:

this is a problem about poisson probabilities.   i don't know if you've

already studied poisson distributions, or if you have a place to look

to read more about the subject.  

here's how you can see a poisson distribution coming.   when there are

a lot of events that may happen at any time (or any place), and when

you're counting how many of them happen at a particular time (or a

particular place), and each event is independent of the others, then

the result is a poisson distribution.   this is roughly true for the

chocolate chips; one chip being in a cookie has only a small effect on

the probability that another chip will be in the cookie.

once you know you have a poisson distribution, you know a lot.   there

is only one parameter to a poisson distribution, so if you know the

mean, you know everything.   the form of the distribution is

  probability of n chips = {[e^(-x)]*(x^n)} / (n! )

well your weight will go up if you are not going to burn the calories/ carbs

step-by-step explanation: