Q1: A firm has three telephone numbers. They all receive numbers of calls that follow Poisson distributions, the first having a mean of 8, the second 4 and the third 3 in a period of half an hour.   Find the probability that   (a) the second and third lines will receive a total of exactly six calls in half an hour;   (b) the firm will receive at least twelve calls in half an hour;   (c) line two will receive at most six calls in one hour;

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Q1: A firm has three telephone numbers. They all receive numbers of calls that follow Poisson distributions, the first having a mean of 8, the second 4 and the third 3 in a period of half an hour.

 

Find the probability that

 

(a) the second and third lines will receive a total of exactly six calls in half an hour;

 

(b) the firm will receive at least twelve calls in half an hour;

 

(c) line two will receive at most six calls in one hour;

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