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When the 6 or 8 bus arrives at the university, the next bus (either the 6 or the 8) arrives after holding time T~ Exp(4) (units are in hours). (a) What is the expected number of buses that arrive in a two-hour period? (b) What is the probability that at least two buses arrives in a 10 minute period. (c) Consider the 6 consecutive 10 minute periods between 3pm and 4pm. What is the probability that at least one of these periods has two or more buses arriving in it?

When the 6 or 8 bus arrives at the university, the next bus (either the 6 or the 8) arrives after holding time T~ Exp(4) (units are in hours). (a) What is the expected number of buses that arrive in a two-hour period? (b) What is the probability that at least two buses arrives in a 10 minute period. (c) Consider the 6 consecutive 10 minute periods between 3pm and 4pm. What is the probability that at least one of these periods has two or more buses arriving in it?

College Algebra
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.4: Expected Value
Problem 23E
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When the 6 or 8 bus arrives at the university, the next bus (either the 6 or the 8) arrives after holding time T~ Exp(4) (units are in hours). (a) What is the expected number of buses that arrive in a two-hour period? (b) What is the probability that at least two buses arrives in a 10 minute period. (c) Consider the 6 consecutive 10 minute periods between 3pm and 4pm. What is the probability that at least one of these periods has two or more buses arriving in it?
Transcribed Image Text:When the 6 or 8 bus arrives at the university, the next bus (either the 6 or the 8) arrives after holding time T~ Exp(4) (units are in hours). (a) What is the expected number of buses that arrive in a two-hour period? (b) What is the probability that at least two buses arrives in a 10 minute period. (c) Consider the 6 consecutive 10 minute periods between 3pm and 4pm. What is the probability that at least one of these periods has two or more buses arriving in it?
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