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?
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
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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?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9974cb88-485f-4954-981d-1d67477878d4%2F70a438bf-a0cb-4ea0-9d17-5395a2ccd480%2Fll652ia_processed.png&w=3840&q=75)
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?
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