1. Suppose customers arrive at a drive-thru window according to a Poisson process with a rate a = 5.9 per hour, so the number of arrivals during a timer period of t hours is a Poisson random variable with parameter μ = 5.9t. a) What is the probability that exactly 6 customers arrive during a 1-hour period? b) What is the probability that at least 7 customers arrive during a 1-hour period? c) What is the probability that at most 10 customers arrive during a 2-hour period? d) What is the probability that at least 12 customers arrive during a 2-hour period?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 35E
Question

Just c and d please. 

1. Suppose customers arrive at a drive-thru window according to a Poisson process with a
rate a = 5.9 per hour, so the number of arrivals during a timer period of t hours is a
Poisson random variable with parameter μ = 5.9t.
a) What is the probability that exactly 6 customers arrive during a 1-hour period?
b) What is the probability that at least 7 customers arrive during a 1-hour period?
c) What is the probability that at most 10 customers arrive during a 2-hour period?
d) What is the probability that at least 12 customers arrive during a 2-hour period?
Transcribed Image Text:1. Suppose customers arrive at a drive-thru window according to a Poisson process with a rate a = 5.9 per hour, so the number of arrivals during a timer period of t hours is a Poisson random variable with parameter μ = 5.9t. a) What is the probability that exactly 6 customers arrive during a 1-hour period? b) What is the probability that at least 7 customers arrive during a 1-hour period? c) What is the probability that at most 10 customers arrive during a 2-hour period? d) What is the probability that at least 12 customers arrive during a 2-hour period?
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning