EBK STATISTICS FOR MANAGEMENT AND ECONO
EBK STATISTICS FOR MANAGEMENT AND ECONO
10th Edition
ISBN: 9780100546462
Author: KELLER
Publisher: YUZU
Question
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Chapter 7, Problem 136CE

(a)

To determine

Calculate the mean and standard deviation of violent television program viewers.

(a)

Expert Solution
Check Mark

Explanation of Solution

The probability distribution of the number of viewers of violent and non-violent television program shows is shown below:

Table 1

Viewers of violent shows 
X012345
P(X)0.360.220.200.090.080.05
Viewers of nonviolent shows 
X012345
P(X)0.150.180.230.260.100.08

The mean of number of correct answers among viewers of violent television programs is calculated as follows:

μ=E(X)=xP(x)=(0(0.36) + 1(0.22) + 2(0.20) + 3(0.09) + 4(0.08)+5(0.05))=1.46

The mean value is 1.46.

The standard deviation (square root of variance) of the number of correct answers among viewers of violent television programs is calculated as follows:

σ2=V(X)=(x-μ)2P(x)={(01.46)2(0.36)+(11.46)2(0.22)+(21.46)2(0.20)+(31.46)2(0.09)+(41.46)2(0.08)+(51.46)2(0.05)}=2.23σ=σ2= 2.23=1.49

The standard deviation is 1.49.

Economics Concept Introduction

Probability distribution: Probability distribution shows the probabilities of incidence of different likely outcomes in a test.

(b)

To determine

Calculate the mean and standard deviation of non-violent television program viewers.

(b)

Expert Solution
Check Mark

Explanation of Solution

The mean of number of correct answers among viewers of non-violent television programs is calculated as follows:

μ=E(X)=xP(x)=(0(0.15) + 1(0.18) + 2(0.23) + 3(0.26) + 4(0.10)+5(0.08))=2.22

The mean value is 2.22.

The standard deviation (square root of variance) of the number of correct answers among viewers of non-violent television programs is calculated as follows:

σ2=V(X)=(x-μ)2P(x)={(02.22)2(0.15)+(12.22)2(0.18)+(22.22)2(0.23)+(32.22)2(0.26)+(42.22)2(0.10)+(52.22)2(0.08)}=2.11σ=σ2= 2.11=1.45

The standard deviation is 1.45.

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Chapter 7 Solutions

EBK STATISTICS FOR MANAGEMENT AND ECONO

Ch. 7.1 - Prob. 11ECh. 7.1 - Prob. 12ECh. 7.1 - Prob. 13ECh. 7.1 - Prob. 14ECh. 7.1 - Prob. 15ECh. 7.1 - Prob. 16ECh. 7.1 - Prob. 17ECh. 7.1 - Prob. 18ECh. 7.1 - Prob. 19ECh. 7.1 - Prob. 20ECh. 7.1 - Prob. 21ECh. 7.1 - Prob. 22ECh. 7.1 - Prob. 23ECh. 7.1 - Prob. 24ECh. 7.1 - Prob. 25ECh. 7.1 - Prob. 26ECh. 7.1 - Prob. 27ECh. 7.1 - Prob. 28ECh. 7.1 - Prob. 29ECh. 7.1 - Prob. 30ECh. 7.1 - Prob. 31ECh. 7.1 - Prob. 32ECh. 7.1 - Prob. 33ECh. 7.1 - Prob. 34ECh. 7.1 - Prob. 35ECh. 7.1 - Prob. 36ECh. 7.1 - Prob. 37ECh. 7.1 - Prob. 38ECh. 7.1 - Prob. 39ECh. 7.1 - Prob. 40ECh. 7.1 - Prob. 41ECh. 7.1 - Prob. 42ECh. 7.2 - Prob. 43ECh. 7.2 - Prob. 44ECh. 7.2 - Prob. 45ECh. 7.2 - Prob. 46ECh. 7.2 - Prob. 47ECh. 7.2 - Prob. 48ECh. 7.2 - Prob. 49ECh. 7.2 - Prob. 50ECh. 7.2 - Prob. 51ECh. 7.2 - Prob. 52ECh. 7.2 - Prob. 53ECh. 7.2 - Prob. 54ECh. 7.2 - Canadians who visit the United Sates often buy...Ch. 7.2 - Prob. 56ECh. 7.2 - Prob. 57ECh. 7.2 - Prob. 58ECh. 7.2 - Prob. 59ECh. 7.2 - Prob. 60ECh. 7.3 - Prob. 61ECh. 7.3 - Prob. 62ECh. 7.3 - Prob. 63ECh. 7.3 - Prob. 64ECh. 7.3 - Prob. 65ECh. 7.3 - Prob. 66ECh. 7.3 - Prob. 67ECh. 7.3 - Prob. 68ECh. 7.3 - Prob. 69ECh. 7.3 - Prob. 70ECh. 7.3 - Prob. 71ECh. 7.3 - Prob. 72ECh. 7.3 - Prob. 73ECh. 7.3 - Prob. 74ECh. 7.3 - Prob. 75ECh. 7.3 - Prob. 76ECh. 7.3 - Prob. 78ECh. 7.3 - Prob. 79ECh. 7.3 - Prob. 80ECh. 7.3 - Prob. 81ECh. 7.3 - Prob. 83ECh. 7.4 - Prob. 84ECh. 7.4 - Prob. 85ECh. 7.4 - Prob. 86ECh. 7.4 - Prob. 87ECh. 7.4 - Prob. 88ECh. 7.4 - Prob. 89ECh. 7.4 - Prob. 90ECh. 7.4 - Prob. 91ECh. 7.4 - Prob. 92ECh. 7.4 - Prob. 93ECh. 7.4 - Prob. 94ECh. 7.4 - Prob. 95ECh. 7.4 - Prob. 96ECh. 7.4 - Prob. 97ECh. 7.4 - Prob. 98ECh. 7.4 - Prob. 99ECh. 7.4 - Prob. 100ECh. 7.4 - Prob. 101ECh. 7.4 - Prob. 102ECh. 7.4 - Prob. 103ECh. 7.4 - Prob. 104ECh. 7.4 - Prob. 105ECh. 7.4 - Prob. 106ECh. 7.4 - Prob. 107ECh. 7.4 - Prob. 108ECh. 7.4 - Prob. 109ECh. 7.5 - Prob. 110ECh. 7.5 - Prob. 111ECh. 7.5 - Prob. 112ECh. 7.5 - Prob. 113ECh. 7.5 - Prob. 114ECh. 7.5 - Prob. 115ECh. 7.5 - Prob. 116ECh. 7.5 - Prob. 117ECh. 7.5 - Prob. 118ECh. 7.5 - Prob. 120ECh. 7.5 - Prob. 121ECh. 7.5 - Prob. 122ECh. 7 - Prob. 123CECh. 7 - Prob. 124CECh. 7 - Prob. 125CECh. 7 - Prob. 126CECh. 7 - Prob. 127CECh. 7 - Prob. 128CECh. 7 - Prob. 129CECh. 7 - Prob. 130CECh. 7 - Prob. 131CECh. 7 - Prob. 132CECh. 7 - Prob. 133CECh. 7 - Prob. 134CECh. 7 - Prob. 135CECh. 7 - Prob. 136CECh. 7 - Prob. 137CECh. 7 - Prob. 138CECh. 7 - Prob. 139CECh. 7 - Prob. 140CE
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