Write the poisson formula and describe possible values of x

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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).

Reference no: EM13911748

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