on process of rate 3/hr. If a student arrives, and the professor is already talking other student, the student leaves without talking to the professor and never comes Otherwise, they talk with the professor for a random number of hours that is -mly distributed on [0, 1]. In the long run, how many students per hour does the professor talk to? What is the long run fraction of students who leave without talking to the professor?
on process of rate 3/hr. If a student arrives, and the professor is already talking other student, the student leaves without talking to the professor and never comes Otherwise, they talk with the professor for a random number of hours that is -mly distributed on [0, 1]. In the long run, how many students per hour does the professor talk to? What is the long run fraction of students who leave without talking to the professor?
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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![A professor is always in her office for office hours. Students arrive according to a
Poisson process of rate 3/hr. If a student arrives, and the professor is already talking
to another student, the student leaves without talking to the professor and never comes
back. Otherwise, they talk with the professor for a random number of hours that is
uniformly distributed on [0, 1].
(a)
In the long run, how many students per hour does the professor talk to?
(b)
professor?
What is the long run fraction of students who leave without talking to the](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb9e518e4-fe59-47fc-9e54-d12834a460b0%2Fb9776608-eee4-46d9-bd4c-57e73635b533%2Fnimco1l_processed.png&w=3840&q=75)
Transcribed Image Text:A professor is always in her office for office hours. Students arrive according to a
Poisson process of rate 3/hr. If a student arrives, and the professor is already talking
to another student, the student leaves without talking to the professor and never comes
back. Otherwise, they talk with the professor for a random number of hours that is
uniformly distributed on [0, 1].
(a)
In the long run, how many students per hour does the professor talk to?
(b)
professor?
What is the long run fraction of students who leave without talking to the
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