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). ~ (d) I arrive at the bus stop and start my watch. What is the expected amount of time until the sixth bus arrives. What is the standard deviation of this time? (e) Rush hour traffic limits the number of buses arriving. Given that exactly two buses arrive between 8:30am and 9:30am, what is the expected arrival time of the second bus? (f) I want to get the number 6 bus. Each bus that arrives is a number 6 bus independently with probability 0.25. What is the expected amount of time to wait until a number 6 bus?

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.2: The Least Square Line
Problem 1E
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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).
~
(d) I arrive at the bus stop and start my watch. What is the expected amount of time until the sixth bus
arrives. What is the standard deviation of this time?
(e) Rush hour traffic limits the number of buses arriving. Given that exactly two buses arrive between
8:30am and 9:30am, what is the expected arrival time of the second bus?
(f) I want to get the number 6 bus. Each bus that arrives is a number 6 bus independently with probability
0.25. What is the expected amount of time to wait until a number 6 bus?
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). ~ (d) I arrive at the bus stop and start my watch. What is the expected amount of time until the sixth bus arrives. What is the standard deviation of this time? (e) Rush hour traffic limits the number of buses arriving. Given that exactly two buses arrive between 8:30am and 9:30am, what is the expected arrival time of the second bus? (f) I want to get the number 6 bus. Each bus that arrives is a number 6 bus independently with probability 0.25. What is the expected amount of time to wait until a number 6 bus?
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