Suppose that x has a Poisson distribution with =2.

a. Write the Poisson formula and describe the possible values of x.

b. Starting with the smallest possible value of x, calculate p(x) for each value of x until p(x) becomes smaller than .001

c. Graph the Poisson distribution using your results of b.

d. Find P(x=2)

e. Find P(x4)

f. Find P(x<4)

g. Find P(x 1) and P(x >2)

h. Find P(1 x 4)

i. Find P(2< x < 5)

j. Find P(2 x < 6)