Use the Data Given Below to Answer the Following Questions)

question 13

Multiple Choice

Use the data given below to answer the following questions) .
15 students were asked to choose between the broad categories of Arts, Science, and Math as their preferred area of study. $\begin{array} { | c | c | c | } \hline \text { Respondent } & \text { Gender } & \text { Preference } \\\hline 1 & \text { Fernale } & \text { Arts } \\\hline 2 & \text { Male } & \text { Science } \\\hline 3 & \text { Male } & \text { Math } \\\hline 4 & \text { Fernale } & \text { Arts } \\\hline 5 & \text { Fernale } & \text { Math } \\\hline 6 & \text { Male } & \text { Science } \\\hline 7 & \text { Male } & \text { Math } \\\hline 8 & \text { Male } & \text { Math } \\\hline 9 & \text { Fernale } & \text { Arts } \\\hline 10 & \text { Male } & \text { Arts } \\\hline 11 & \text { Male } & \text { Science } \\\hline 12 & \text { Fernale } & \text { Science } \\\hline 13 & \text { Fernale } & \text { Math } \\\hline 14 & \text { Male } & \text { Arts } \\\hline 15 & \text { Fernale } & \text { Arts }\\\hline \end{array}$
-What is the probability that a respondent prefers Science given that the respondent is female?

• A) \(\frac { 1 } { 15 }\)
• B) \(\frac { 1 } { 7 }\)
• C) \(\frac { 7 } { 15 }\)
• D) 4
• 7

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Definitions:

Related Parties

Transactions between related parties are those that occur between individuals or entities that have a close association, leading to potential conflicts of interest or non-arm's length transactions.

Personal Residence

A term referring to the primary living quarters owned and used by an individual or family for their personal use.

Taxpayers

Individuals or entities that are obligated to pay taxes to a governmental authority.

Involuntary Conversion

An event where property is destroyed, stolen, condemned, or disposed of under the threat of condemnation, and the owner receives other property or compensation in replacement.