Airline fatalities. U.S. airlines average about 4.5

Solution 71E

Step1 of 4:

Let us consider a random variable x it presents the number of fatalities per month. Here x follows poisson distribution with parameter

Here our goal is:

a). We need to find the probability that no fatalities will occur during any given month.

b). We need to find the probability that one fatality will occur during a month.

c). We need to find E(x) and the standard deviation of x.

Step2 of 4:

a).

From the given information we know that X follows poisson distribution with parameter

That is,

X P()

X P() 

We know that the probability mass function of poisson distribution is:

                      ,