Question

In: Statistics and Probability

Suppose that x has a Poisson distribution with μ = 2. (b) Starting with the smallest...

Suppose that x has a Poisson distribution with μ = 2.

(b) Starting with the smallest possible value of x, calculate p(x) for each value of x until p(x) becomes smaller than .001. (Round your answers to 4 decimal places.)

x 0 1 2 3 4 5 6 7 8
p(x)

(d) Find P(x = 2). (Round your answer to 4 decimal places.)

(e) Find P(x ≤ 4). (Round your answer to 4 decimal places.)

(f) Find P(x < 4). (Round your answer to 4 decimal places.)

(g) Find P(x ≥ 1) and P(x > 2). (Round your answers to 4 decimal places.)

P(x>=1)
P(x>2)

(h) Find P(1 ≤ x ≤ 4). (Round your answer to 4 decimal places.)

(i) Find P(2 < x < 5). (Round your answer to 4 decimal places.)

(j) Find P(2 ≤ x < 6). (Round your answer to 4 decimal places.)

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