What is the formula for the Poisson distribution probability?

Category: QuestionsWhat is the formula for the Poisson distribution probability?
Editor">Editor Staff asked 11 months ago

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
 
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This interesting question is from Bernoulli Trials and Binomial Distribution topic in division Probability of Mathematics – Class 12
NCERT Solutions for Subject Clas 12 Math Select the correct answer from above options 
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1 Answers
Editor">Editor Staff answered 11 months ago

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!