1. Given that X has a poisson distribution with µ = 6, what is the probability that x = 6?

2. Given that x has a poisson distribution with µ = 0.7, what is the probability that x =0?

3. A major hurricane is a hurricane with wind speeds of 111 miles per hour or greater. During the last century, the mean number of major hurricanes to strike a certain country's mainland per year was about 0.41. Find the probability that in a given year

a) Exactly one major hurricane will strike the mainland

b) at most one major hurricane will strike the main land

c) more than one major hurricane will strike the mainland

2. A newspaper finds that the mean number of typographical errors per page is seven. Find the probability that

a) Exactly four typographical errors are found on a page

b) At most for typographical errors are found on a page

c) more than four typographical errors are found on a page