The arrival of buses from the campus to student housing in the late afternoon is modeled by a Poisson process with an interarrival time of 30 minutes. Consider the situation where a bus has just arrived at 4.29 PM. (a) A student arrives at 4.30 PM and misses the bus. Find the expected value of time that the student will have to wait for the next bus to student housing? (b) At 4.52 PM the next bus has not yet arrived, and another student comes to the bus stop. Find the expected value of time that these two students will have to wait for the next bus?

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
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ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
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The arrival of buses from the campus to student housing in the late afternoon is modeled by a
Poisson process with an interarrival time of 30 minutes. Consider the situation where a bus has
just arrived at 4.29 PM.
(a) A student arrives at 4.30 PM and misses the bus. Find the expected value of time that the
student will have to wait for the next bus to student housing?
(b) At 4.52 PM the next bus has not yet arrived, and another student comes to the bus stop. Find
the expected value of time that these two students will have to wait for the next bus?
Transcribed Image Text:The arrival of buses from the campus to student housing in the late afternoon is modeled by a Poisson process with an interarrival time of 30 minutes. Consider the situation where a bus has just arrived at 4.29 PM. (a) A student arrives at 4.30 PM and misses the bus. Find the expected value of time that the student will have to wait for the next bus to student housing? (b) At 4.52 PM the next bus has not yet arrived, and another student comes to the bus stop. Find the expected value of time that these two students will have to wait for the next bus?
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