Thinking with models: Mathematical Models in the Physical, Biological, and Social Sciences by Alexander Joyce M. & Saaty Thomas L

Author:Alexander, Joyce M. & Saaty, Thomas L. [Alexander, Joyce M.]
Language: eng
Format: epub
Publisher: RWS Publications
Published: 2015-01-28T16:00:00+00:00

FIG . 5.3.

Clearly, if your random arrival time falls anywhere between the time of a Quincy Center bound train and a Harvard Square bound train (9 minutes) you will end up at Harvard Square; while if your arrival falls between the time of a Harvard Square bound train and a Quincy Center bound train (1 minute), you will end up at Quincy Center (Fig. 5.3 ).

Example 4. Meeting of Friends

Two friends, X and Y , plan to meet downtown between 12:00 noon and 1:00 p.m. Their arrival times are random variables. They agree that each will wait 10 minutes, and that if the other has not arrived during these 10 minutes he will leave. What is the probability that they will meet? Assume that if either arrives after 12:50 he will leave at 1:00 even though he has not waited the full 10 minutes.

We may show the situation graphically as in Fig. 5.4 .

Download

Copyright Disclaimer:
This site does not store any files on its server. We only index and link to content provided by other sites. Please contact the content providers to delete copyright contents if any and email us, we'll remove relevant links or contents immediately.