Cars arrive at a vehicle equipment inspection station according to a Poisson Process with rate a = 8 per hour Suppose that the probability is p 0.3 that an arriving car will have no equipment violations (a) What is the probability that exactly 8 cars arrive during the hour and all 8 have no violations? (b) For any fixed number x > 8, what is the probability that x arrive during the hour of which 8 have no violation? (c) What is the probability that 8 "no-violation" cars arrive during the next hour?

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.3: Binomial Probability
Problem 33E: Sick leave probability that a given worker at Dyno Nutrition Will call in sick on a Monday is 004....
icon
Related questions
Question
Cars arrive at a vehicle equipment inspection station according to a Poisson Process with rate a = 8 per hour
Suppose that the probability is p 0.3 that an arriving car will have no equipment violations
(a) What is the probability that exactly 8 cars arrive during the hour and all 8 have no violations?
(b) For any fixed number x > 8, what is the probability that x arrive during the hour of which 8 have no
violation?
(c) What is the probability that 8 "no-violation" cars arrive during the next hour?
Transcribed Image Text:Cars arrive at a vehicle equipment inspection station according to a Poisson Process with rate a = 8 per hour Suppose that the probability is p 0.3 that an arriving car will have no equipment violations (a) What is the probability that exactly 8 cars arrive during the hour and all 8 have no violations? (b) For any fixed number x > 8, what is the probability that x arrive during the hour of which 8 have no violation? (c) What is the probability that 8 "no-violation" cars arrive during the next hour?
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 4 images

Blurred answer
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning