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This is a contingency table showing the relationship between 2 internet use and income. Contindency tables are a useful way to examine the relationships between 2 categorical variables (scatterplots and correlations will not be useful for 2 qualitative variables.) These questions require that you understand the difference between joint, marginal, and conditional probabilities. a. The probability that someone has High income AND uses the internet regularly is b. The probability that someone has high income is c. The probability that someone uses the internet regularly IF (given) they have high income is

This is a contingency table showing the relationship between 2 internet use and income. Contindency tables are a useful way to examine the relationships between 2 categorical variables (scatterplots and correlations will not be useful for 2 qualitative variables.) These questions require that you understand the difference between joint, marginal, and conditional probabilities. a. The probability that someone has High income AND uses the internet regularly is b. The probability that someone has high income is c. The probability that someone uses the internet regularly IF (given) they have high income is

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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This is a contingency table showing the relationship between 2 internet use and income. Contindency tables are a useful way to examine the relationships between 2 categorical variables (scatterplots and correlations will not be useful for 2 qualitative variables.) These questions require that you understand the difference between joint, marginal, and conditional probabilities. a. The probability that someone has High income AND uses the internet regularly is b. The probability that someone has high income is c. The probability that someone uses the internet regularly IF (given) they have high income is d. The probability they have high income OR regularly uses the internet regularly (note: high income and regular use are not mutually exclusive. remember this when you are calculating the union OR of these two events.) is e. Are high income and regular use INDEPENDENT events? Do these 2 events satisfy our definition of independence that P(A | B)=P(A) and P(A and B) = P(A)P(B)? Answer 1 if YES or answer 0 if NO. The answer is VIEWING FREQUENCY HIGH INCOME MIDDLE INCOME LOW INCOME TOTALS 0.05 0.05 0.20 0.10 0.35 0.10 0.10 0.55 0.05 0.15 0.05 0.25 0.20 0.60 0.20 1.00 Regular Occasional Never Totals
Transcribed Image Text:This is a contingency table showing the relationship between 2 internet use and income. Contindency tables are a useful way to examine the relationships between 2 categorical variables (scatterplots and correlations will not be useful for 2 qualitative variables.) These questions require that you understand the difference between joint, marginal, and conditional probabilities. a. The probability that someone has High income AND uses the internet regularly is b. The probability that someone has high income is c. The probability that someone uses the internet regularly IF (given) they have high income is d. The probability they have high income OR regularly uses the internet regularly (note: high income and regular use are not mutually exclusive. remember this when you are calculating the union OR of these two events.) is e. Are high income and regular use INDEPENDENT events? Do these 2 events satisfy our definition of independence that P(A | B)=P(A) and P(A and B) = P(A)P(B)? Answer 1 if YES or answer 0 if NO. The answer is VIEWING FREQUENCY HIGH INCOME MIDDLE INCOME LOW INCOME TOTALS 0.05 0.05 0.20 0.10 0.35 0.10 0.10 0.55 0.05 0.15 0.05 0.25 0.20 0.60 0.20 1.00 Regular Occasional Never Totals
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