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?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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