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Chapter 4: Q. 4.31 (page 270)

Atlanta鈥檚 Hartsfield-Jackson International Airport is the busiest airport in the world. On average there are 2,500arrivals and departures each day.

a. How many airplanes arrive and depart the airport per hour?

b. What is the probability that there are exactly 100arrivals and departures in one hour?

c. What is the probability that there are at most 100arrivals and departures in one hour?

Short Answer

Expert verified

(a) Every hour, flights arrive and depart from the airport is104.1667

(b) Probability for exactly 100departure and arrivals P(X=100)=0.0366

(c) Probability for most 100departure and arrivalsP(X鈮�100)=0.365

Step by step solution

01

Find Every hour, flights arrive and depart from the airport (part a)

In a single day, there are 2500arrivals and departures.

Let Xindicate the total number of arrivals and departures in one hour.

In one hour, the overall amount of arrivals and departures is

1242500=104.1667

02

Find probability (part b)

With a mean of 104.1667variable Xhas a Poisson distribution. There's a good chance there will be 100arrivals and departs.

P(X=100)=0.0366

03

Find probability (part c)

There's a good chance there will be no more than 100 arrivals and departures.

P(X鈮�100)=0.365

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