Oaine is having office hours and Paine and Qaine will show up. The arrival times are indepen- dent exponentials with rates Ap and Aq. After arriving they stay for exponential times with rates up and #Q respectively (all independent). (a) What is the probability that Paine comes and leaves before Qaine arrives? (b) What is the expected time for the last student to leave?
Oaine is having office hours and Paine and Qaine will show up. The arrival times are indepen- dent exponentials with rates Ap and Aq. After arriving they stay for exponential times with rates up and #Q respectively (all independent). (a) What is the probability that Paine comes and leaves before Qaine arrives? (b) What is the expected time for the last student to leave?
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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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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Transcribed Image Text:Oaine is having office hours and Paine and Qaine will show up. The arrival times are indepen-
dent exponentials with rates Ap and do. After arriving they stay for exponential times with rates up and
HQ rcspectively (all independent).
(a) What is the probability that Paine comes and leaves before Qaine arrives?
(b) What is the expected time for the last student to leave?
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