A company has 5 representatives covering large territories and 10 representatives covering smaller territories. The probability distributions for the numbers of orders received by each of these types of representatives in a day are shown in the accompanying table. Assuming that the number of orders received by any representative is independent of the number received by any other, find the mean and standard deviation of the total number of orders received by the company in a day. Numbers ofOrders (LargeTerritories) Probability Numbersof Orders(SmallerTerritories) Probability 0 1 2 3 4 5 0.08 0.16 0.28 0.32 0.10 0.06 0 1 2 3 4 0.18 0.26 0.36 0.13 0.07

A company has 5 representatives covering large territories and 10 representatives covering smaller territories. The probability distributions for the numbers of orders received by each of these types of representatives in a day are shown in the accompanying table. Assuming that the number of orders received by any representative is independent of the number received by any other, find the mean and standard deviation of the total number of orders received by the company in a day. Numbers ofOrders (LargeTerritories) Probability Numbersof Orders(SmallerTerritories) Probability 0 1 2 3 4 5 0.08 0.16 0.28 0.32 0.10 0.06 0 1 2 3 4 0.18 0.26 0.36 0.13 0.07

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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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Question

Numbers of
Orders (Large
Territories)

Probability

Numbers
of Orders
(Smaller
Territories)

Probability

0.08

0.16

0.28

0.32

0.10

0.06

0.18

0.26

0.36

0.13

0.07

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