Given a Poisson random variable x, where the average number of times an event occurs in a certain period of time or space is 1.5, then what is P(x = 2)?
A) 0.5020
B) 0.2510
C) 0.2231
D) 0.01116

Question

Quizplus · Accepted Answer

The probability mass function of a Poisson random variable is given by:P(X = k) = (e^-λ * λ^k) / k!where λ is the average number of times an event occurs in a certain period of time or space.In this case, λ = 1.5, so:P(X = 2) = (e^-1.5 * 1.5^2) / 2! = 0.2231Therefore, the correct answer is C) 0.2231.

Given a Poisson Random Variable X, Where the Average Number