Consider the following contingency table for a survey of 223 people who were asked either they have a PC or Mac book computers. (i). If a person is selected randomly, what is the probability that this person is a Male?  If a person is selected randomly, what is the probability that this person is a Female? What is the probability of randomly selecting a Male given that he has a PC computer? What is the probability of randomly selecting a Male given that he has a Mac book computer?

MATLAB: An Introduction with Applications
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Consider the following contingency table for a survey of 223 people who were asked either they have a PC or Mac book computers.

(i). If a person is selected randomly, what is the probability that this person is a Male? 

If a person is selected randomly, what is the probability that this person is a Female?

What is the probability of randomly selecting a Male given that he has a PC computer?

What is the probability of randomly selecting a Male given that he has a Mac book computer?

What is the probability of randomly selecting a person with a Mac book computer given that this person is a Female?

**Contingency Table Analysis**

This contingency table comes from a survey of 223 people who were asked if they have a PC or Mac book computers.

|          | PC | Mac | Row Totals |
|----------|----|-----|------------|
| Male     | 66 | 40  | 106        |
| Female   | 30 | 87  | 117        |
| Column Totals | 96 | 127 | 223        |

**Explanation:**
- The table categorizes the respondents based on gender (male and female) and the type of computer they own (PC or Mac).
- Row totals indicate the total number of males and females.
- Column totals show the total number of people who own either a PC or a Mac, as well as the survey total.

**Question (i):**
If a person is selected randomly, what is the probability that this person is a Male?

**Answer:**
To find the probability that a randomly selected person is male, divide the number of males by the total number of respondents:

Probability (Male) = Number of Males / Total Number of Respondents = 106 / 223.
Transcribed Image Text:**Contingency Table Analysis** This contingency table comes from a survey of 223 people who were asked if they have a PC or Mac book computers. | | PC | Mac | Row Totals | |----------|----|-----|------------| | Male | 66 | 40 | 106 | | Female | 30 | 87 | 117 | | Column Totals | 96 | 127 | 223 | **Explanation:** - The table categorizes the respondents based on gender (male and female) and the type of computer they own (PC or Mac). - Row totals indicate the total number of males and females. - Column totals show the total number of people who own either a PC or a Mac, as well as the survey total. **Question (i):** If a person is selected randomly, what is the probability that this person is a Male? **Answer:** To find the probability that a randomly selected person is male, divide the number of males by the total number of respondents: Probability (Male) = Number of Males / Total Number of Respondents = 106 / 223.
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