If x is a Poisson random variable with a mean of 10,what is the probability that x is equal to 8?
A).1126
B).1251
C).2677
D).0993

Question

Quizplus · Accepted Answer

The probability of a Poisson random variable with a mean of 10 being equal to 8 is given by the Poisson distribution formula:P(X = k) = (e^-λ * λ^k) / k!where λ is the mean of the distribution.In this case, λ = 10, so:P(X = 8) = (e^-10 * 10^8) / 8! = 0.1126Therefore, the probability that x is equal to 8 is 0.1126, which is choice A.

If X Is a Poisson Random Variable with a Mean