Question

What is the formula for the Poisson distribution probability?

(a) P(x; μ) = (e^-μ) (μ^x) / x!

(b) P(x; μ) = (e^-x) (μ^x) / x!

(c) P(x; μ) = (e^-μ) (μ) / x!

(d) P(x; μ) = (e^-μ) (μ^x) / x

I got this question in an interview for job.

This interesting question is from Bernoulli Trials and Binomial Distribution topic in division Probability of Mathematics – Class 12

Answer 1

Right answer is (a) P(x; μ) = (e^-μ) (μ^x) / x!

The explanation: Poisson distribution shows the number of times an event is likely to occur within a specified time. The Poisson distribution probability formula is P(x; μ) = (e^-μ) (μ^x) / x!