Use the Data Given Below to Answer the Following Question(s)

question 21

Multiple Choice

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

• A)\(\frac{8}{75}\)
• B)\(\frac{3}{8}\)
• C)\(\frac{3}{225}\)
• D)\(\frac{3}{15}\)

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Definitions:

Preferences

The individual choices or tastes regarding various bundles of goods, shaping demand and consumption patterns in economics.

Indifference Curves

Graphical representations in microeconomics, illustrating combinations of goods or services among which a consumer is indifferent, meaning they have no preference for one combination over the other.

Utility Function

A mathematical representation in economics that shows the relationship between the overall utility a consumer derives from different bundles of goods.

Parameters A And B

Symbols that represent constants in mathematical models and equations, often defining the shape or behavior of a function.