The service time for an application is modelled as an 5 per exponential random variable with parameter 2. hour, independent and identically distributed for all applicants. i. ii. = Determine the probability that the service can accommodate 50 applicants within eight hours. Determine the maximum number of applicants such that the chance of accommodating all of them within eight hours is at least 95%.
The service time for an application is modelled as an 5 per exponential random variable with parameter 2. hour, independent and identically distributed for all applicants. i. ii. = Determine the probability that the service can accommodate 50 applicants within eight hours. Determine the maximum number of applicants such that the chance of accommodating all of them within eight hours is at least 95%.
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 2E: If a binomial experiment has probability p success, then the probability of failure is...
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Question
![The service time for an application is modelled as an
=
5 per
exponential random variable with parameter 2
hour, independent and identically distributed for all
applicants.
i.
11.
Determine the probability that the service
can accommodate 50 applicants within eight
hours.
Determine the
the maximum number of
applicants such that the chance of
accommodating all of them within eight
hours is at least 95%.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3565a3e0-c302-402b-a112-5b0b87d2fba9%2F45f4cd52-ceeb-47d6-bef6-76a6cb043454%2Fev3iet_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The service time for an application is modelled as an
=
5 per
exponential random variable with parameter 2
hour, independent and identically distributed for all
applicants.
i.
11.
Determine the probability that the service
can accommodate 50 applicants within eight
hours.
Determine the
the maximum number of
applicants such that the chance of
accommodating all of them within eight
hours is at least 95%.
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