Suppose that x has a Poisson distribution with.

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 (x≤ 4).

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 ).