Suppose phone calls forreservations per 30 minute period at the restaurant Pod f

Question

Suppose phone calls forreservations per 30 minute period at the restaurant Pod followa
Poisson distribution with parameter lp = 4.
(a) What is the probability that Pod receives more than 4 phonecalls in a particular half an hour?
(b) Now suppose that one booking agent can service up to 4 calls ina half an hour, but if more calls
than that are received then the customers get angry and hang up.What is the largest Poisson
(integer) Poisson parameter for which there is a less than 10percent chance of getting more
than 4 calls in a particular half an hour?
Last updated: June 8, 2010
Econ 103: Problem Set 3
(c) Now suppose that another restaurant Morimoto has reservationcalls per hour that follow a
Poisson distribution with parameter lm = 2. What is the probabilitythat the total calls to both
restaurants in a given hour is less than 4?

Explanation / Answer

(b) By using Normal approximation X~Normal(==4, ==2) The probability is P(X P((X-)/ P(Z (c-4)/2=-1.282 --> c= 4 - 2*1.282 =1.436 So =1.436

Related Questions

Navigate

• Browse (All)
• Browse S
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.