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;

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

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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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;

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