Question

In a Poisson distribution, μ = 4.80. (Round your answers to 4 decimal places.)

1. What is the probability that x = 0?

2. What is the probability that x > 2?

Answer 1

Poission distribution formula is

(A) To find :- P(X=0)

It is given that x = 0 and

this implies

(B) We can write because total probability is always 1

we have already calculated P(x=0) in above part, i.e. P(x=0) = 0.0082

and

It is given that x = 1 and for P(x=1)

this implies

Siimilarly,

setting P(x=0), P(x=1) and P(x=2) in first equation, we get