Univerisity state runs two bus lines on campus: yellow and blue. The yellow line serves the east campu and the blue serves the west campus with a transfer station linking the two lines. Blue buses arrive randomly (exponential interarrival time) at the transfer station every 10 minutes. Yellow buses also arrive randomly every 7 minutes. What is the probability distribution of the waiting time for a student arriving on the yellow line to get o the blue line? What is the probability distribution of the waiting time for a student arriving on the blue line to get on the yellow line?

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
Section14.3: Binomial Probability
Problem 37E
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Univerisity state runs two bus lines on campus: yellow and blue. The yellow line serves the east campus,
and the blue serves the west campus with a transfer station linking the two lines. Blue buses arrive
randomly
(exponential interarrival time) at the transfer station every 10 minutes. Yellow buses also arrive
randomly every 7 minutes.
What is the probability distribution of the waiting time for a student arriving on the yellow line to get on
the blue line?
What is the probability distribution of the waiting time for a student arriving on the blue line to get on
the yellow line?
Transcribed Image Text:Univerisity state runs two bus lines on campus: yellow and blue. The yellow line serves the east campus, and the blue serves the west campus with a transfer station linking the two lines. Blue buses arrive randomly (exponential interarrival time) at the transfer station every 10 minutes. Yellow buses also arrive randomly every 7 minutes. What is the probability distribution of the waiting time for a student arriving on the yellow line to get on the blue line? What is the probability distribution of the waiting time for a student arriving on the blue line to get on the yellow line?
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