Question

Suppose that on the average, 7 students enrolled in a small liberal arts college have their automobiles stolen during the semester. What is the probability that less than 1 student will have his automobile stolen during the current semester

Answer 1

`P(x>1)=0.9927`

Explanation:

From the question we are told that:

Mean
`\=x =7`

Generally the Poisson equation for \=x is mathematically given by

`P(x>1)=1-P(x \leq 1)`

Therefor

`P(x>1)=1-((e^(-7)*7^0)/(0!)+{(e^(-7)*7^1)/(1!))`

`P(x>1)=1-(9.1*10^(-4)+6.3*10^(-3))`

`P(x>1)=1-(7.3*10^(-3)`

`P(x>1)=0.9927`