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Use the Data Given Below to Answer the Following Questions)

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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}
-Use the multiplication law of probability to compute the probability that the respondent is male and prefers Math.

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Definitions:

Interviewing

A method used by organizations to assess potential candidates for a job, often involving a series of questions to evaluate their qualifications and compatibility with the company culture.

Incentive-Pay Program

A compensation strategy designed to reward employees based on their performance or achievement of specific goals.

Profit-Sharing Plan

A plan in which employees receive additional compensation based on the profitability of the entire business.

Insurance Benefit

A payment or service provided under an insurance policy to cover losses or expenses incurred by the insured.

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