Suppose that x has a Poisson distribution with p. = 2. a. Write the Poisson formula and

Question:

Suppose that x has a Poisson 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 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). Distribution
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