buse stop process. A particular bus stop is services by 2 routes: route 1 arrives on average once an hour and route 5 arrives on average every 20 minutes. a) What is the probability that there the first route 1 bus takes more than 1 hour to arrive? b) A passenger arrives at the bus stop randomly, how long should they expect to wait at the bus stop to observe both route 1 and route 5 busses? c) A random observer arrived at the bus stop. From the observer's perspective, what is the expected time since route 5 departed and route I arrived?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 32E
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Arrival of busses at a bus stop can be modelled as a Poisson process. A particular
Obus stop is services by 2 routes: route 1 arrives on average once an hour and route 5 arrives on
average every 20 minutes.
a) What is the probability that there the first route 1 bus takes more than 1 hour to arrive?
b) A passenger arrives at the bus stop randomly, how long should they expect to wait at the
bus stop to observe both route 1 and route 5 busses?
c) A random observer arrived at the bus stop. From the observer's perspective, what is the
expected time since route 5 departed and route 1 arrived?
Transcribed Image Text:Arrival of busses at a bus stop can be modelled as a Poisson process. A particular Obus stop is services by 2 routes: route 1 arrives on average once an hour and route 5 arrives on average every 20 minutes. a) What is the probability that there the first route 1 bus takes more than 1 hour to arrive? b) A passenger arrives at the bus stop randomly, how long should they expect to wait at the bus stop to observe both route 1 and route 5 busses? c) A random observer arrived at the bus stop. From the observer's perspective, what is the expected time since route 5 departed and route 1 arrived?
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