Suppose that x has a Poisson distribution with p. = 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 (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).