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%.

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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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%.
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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