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An average of 40 jobs/day arrive at a factory; and the factory can process an average of 45 jobs/day. Assume that both the inter arrival and process times are exponentially distributed. A. Find the probability that exactly 180 jobs arrive at the factory in a 5-day period B. Measuring from the time a job arrives at a factory, on the average how long does it take before the job is completed? C. What fraction of the time is the factory idle?

An average of 40 jobs/day arrive at a factory; and the factory can process an average of 45 jobs/day. Assume that both the inter arrival and process times are exponentially distributed. A. Find the probability that exactly 180 jobs arrive at the factory in a 5-day period B. Measuring from the time a job arrives at a factory, on the average how long does it take before the job is completed? C. What fraction of the time is the factory idle?

Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter14: Counting And Probability
Section14.2: Probability
Problem 3E: The conditional probability of E given that F occurs is P(EF)=___________. So in rolling a die the...
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An average of 40 jobs/day arrive at a factory; and the factory can process an average of 45
jobs/day. Assume that both the inter arrival and process times are exponentially distributed.


A. Find the probability that exactly 180 jobs arrive at the factory in a 5-day period
B. Measuring from the time a job arrives at a factory, on the average how long does it take
before the job is completed?
C. What fraction of the time is the factory idle?

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