Solve the Problem $$\text { If } n ( A ) = 40 , n ( B ) = 33 \text {, and } n ( A \cap B ) = 10 \text {, find } n ( A \cup B ) \text {. }$$

question 48

Multiple Choice

Solve the problem.
- $$\text { If } n ( A ) = 40 , n ( B ) = 33 \text {, and } n ( A \cap B ) = 10 \text {, find } n ( A \cup B ) \text {. }$$

• A) 83
• B) 63
• C) 53
• D) 73

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Definitions:

Contingency Table

A Contingency Table is a type of table in a matrix format that displays the frequency distribution of the variables. It's used in statistics to analyze the association between two or more variables.

Nominal Data

Data classified into categories that cannot be ordered in any meaningful way.

Chi-squared Goodness-of-fit

A statistical test to determine if sample data fits a population with a specific distribution, comparing observed values to expected values.

Contingency Table

A type of table used in statistics to summarize the relationship between several categorical variables.