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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?

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 19E
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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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