1. The values of a Poisson random variable are x = 0, 1, 2, 3, . . . Explain what these values represent.
2. Explain the assumptions that must be satisfied when a Poisson distribution adequately describes a random variable x.
METHODS AND APPLICATIONS
3. Suppose that x has a Poisson distribution with m = 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).