3. Airline passengers arrive randomly and independently at the passenger- screening facility at Ottawa international airport. The mean arrival rate is 10 pas- sengers per minute. Assume that the arriving process follows a Poisson distribution. (a) What is the probability of no arrivals in a one-minute period? 1 - Section Break - (b) What is the probability that three or fewer passengers arrive in a one- minute period? (c) What is the probability of three or more passengers arrival in a 15- second period?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
icon
Related questions
Question
3. Airline passengers arrive randomly and independently at the passenger- screening facility
at Ottawa international airport. The mean arrival rate is 10 pas- sengers per minute.
Assume that the arriving process follows a Poisson distribution.
(a) What is the probability of no arrivals in a one-minute period?
1
- Section Break
(b) What is the probability that three or fewer passengers arrive in a one- minute
period?
(c) What is the probability of three or more passengers arrival in a 15- second period?
(d) What is the probability of at least one arrival in a 2-minute period?
Transcribed Image Text:3. Airline passengers arrive randomly and independently at the passenger- screening facility at Ottawa international airport. The mean arrival rate is 10 pas- sengers per minute. Assume that the arriving process follows a Poisson distribution. (a) What is the probability of no arrivals in a one-minute period? 1 - Section Break (b) What is the probability that three or fewer passengers arrive in a one- minute period? (c) What is the probability of three or more passengers arrival in a 15- second period? (d) What is the probability of at least one arrival in a 2-minute period?
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning