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Find by direct calculation. Find by conditioning on the sum of these two numbers.

Find by direct calculation. Find by conditioning on the sum of these two numbers.

A First Course in Probability (10th Edition)
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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3. On a weekend day at the Hong Kong West Kowloon Station, travellers living in Shenzhen depart at a rate of m persons daily, and travellers living in Hong Kong depart at the double rate of 2m persons daily. Let e be the probability that on a whole weekend (Saturday and Sunday), the number of travellers living in Hong Kong is exactly twice the number of travellers living in Shenzhen. (a) Find 0 by direct calculation. (b) Find 0 by conditioning on the sum of these two numbers.
Transcribed Image Text:3. On a weekend day at the Hong Kong West Kowloon Station, travellers living in Shenzhen depart at a rate of m persons daily, and travellers living in Hong Kong depart at the double rate of 2m persons daily. Let e be the probability that on a whole weekend (Saturday and Sunday), the number of travellers living in Hong Kong is exactly twice the number of travellers living in Shenzhen. (a) Find 0 by direct calculation. (b) Find 0 by conditioning on the sum of these two numbers.
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