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Use the Data Given Below to Answer the Following Questions)

question 13

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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.  Respondent  Gender  Preference 1 Fernale  Arts 2 Male  Science 3 Male  Math 4 Fernale  Arts 5 Fernale  Math 6 Male  Science 7 Male  Math 8 Male  Math 9 Fernale  Arts 10 Male  Arts 11 Male  Science 12 Fernale  Science 13 Fernale  Math 14 Male  Arts 15 Fernale  Arts \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?


Definitions:

Cocaine

A powerful stimulant drug derived from coca leaves, known for its potent effects on the central nervous system.

Personal Fable

A belief held by adolescents that they are unique and invulnerable, often leading to risk-taking behaviors.

Cognitive Abilities

Mental capabilities that include thinking, reasoning, problem-solving, and information processing.

Gender Differences

Refers to distinctions in behavior, roles, and psychology between males and females, often influenced by social and cultural factors.

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