Use the Rule of Total Probability to Find the Indicated

question 21

Multiple Choice

Use the rule of total probability to find the indicated probability.
-Among students at one college are 3874 women and 3058 men. The following table provides relative-frequency distributions for subject major for males and females at the college. $$\begin{array} { l c c } \text { Major } & \begin{array} { l } \text { Relative frequency } \\\text { for women }\end{array} & \begin{array} { l } \text { Relative frequency } \\\text { for men }\end{array} \\\hline \text { Humanities } & 0.187 & 0.165 \\\text { Science } & 0.284 & 0.349 \\\text { Social Science } & 0.142 & 0.179 \\\text { Other } & 0.387 & 0.307\end{array}$$ A student is selected at random from the college. Determine the probability that the student is a Science major.

• A)0.317
• B)0.159
• C)0.313
• D)0.320

---

Definitions:

Supportive

Providing encouragement or assistance, especially in times of need or distress.

Functional Areas

Distinct sectors within an organization, each focusing on specific aspects of the company’s operations, such as marketing, finance, human resources, and production.