In: Statistics and Probability
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.)