Find the Cardinal Number of the Set $\mathrm { n } ( \mathrm { A } \cup \mathrm { B } \cup \mathrm { C } ) = 69$

question 113

Multiple Choice

Find the cardinal number of the set.
-Given:
$\mathrm { n } ( \mathrm { A } \cup \mathrm { B } \cup \mathrm { C } ) = 69$
$\mathrm { n } ( \mathrm { A } \cap \mathrm { B } \cap \mathrm { C } ) = 10$
$\mathrm { n } ( \mathrm { A } \cap \mathrm { B } ) = 22$
$\mathrm { n } ( \mathrm { A } \cap \mathrm { C } ) = 19$
$\mathrm { n } ( \mathrm { B } \cap \mathrm { C } ) = 17$
$\mathrm { n } ( \mathrm { A } ) = 51$
$\mathrm { n } ( \mathrm { B } ) = 34$
$\mathrm { n } ( \mathrm { C } ) = 32$
Find $n \left( A ^ { \prime } \cap B \cap C \right)$

• A) 6
• B) 7
• C) 8
• D) 9

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Definitions:

Standard Deviation

A measure of the dispersion or variation in a set of values, indicating how spread out the values are from the mean.

Confidence Level

The likelihood that a confidence interval encompasses the actual population parameter.

Sample Size

The number of observations or specimens collected for the purpose of statistical analysis.

Population Mean

The average value of a characteristic in a population, representing a parametric measure of central tendency.