Answer to Question #113399 in Statistics and Probability for Ruth Mutale Chutu

Question

Suppose the average number of car accidents on the highway in one day is 4.
(i) What is the probability of no car accident in one day?
(ii) What is the probability of 1 car accident in one day?
4. Suppose the average number of calls received by an operator in one minute is 2. What is
the probability of receiving 10 calls in one minute

Answer 1

It is a poisson distribution problem and =POISSON.DIST excel formula can be used.

I. $P(=0)$ =POISSON.DIST(0,4,FALSE) which yields 0.018316

ii. P(=1) =POISSON.DIST(1,4,FALSE) which yields 0.073263

4. P(=10)=POISSON.DIST(10,2,FALSE) which yields $3.81899E-05$