Question

The random variable X follows a Poisson process with the given mean. Assuming λ = 9, compute the following:

(a) P(5)
(b) P(X < 5)
(c) P(X > 25)
(d) P(55 < X < 57)
(la P(5)

Answer 1

To compute probabilities in a Poisson distribution, use the formulas poissonpdf and poissoncdf.

Step-by-step explanation:

To compute the probabilities in a Poisson distribution, we can use the following formulas:

a) P(X = k) = 2nd, VARS(DISTR), C: poissonpdf(λ, k)

b) P(X ≤ k) = 2nd, VARS(DISTR), D: poissoncdf(λ, k)

Using these formulas, we can calculate:

a) P(5) = poissonpdf(9, 5)

b) P(X < 5) = poissoncdf(9, 5-1)

c) P(X > 25) = 1 - poissoncdf(9, 25)

d) P(55 < X < 57) = poissoncdf(9, 57) - poissoncdf(9, 55-1)