Use Bayes's Rule to Find the Indicated Probability A Student Is Selected at Random from the College

question 71

Multiple Choice

Use Bayes's rule to find the indicated probability.
-Among students at one college are 3936 women and 3197 men. The following table provides relative-frequency distributions for subject major for males and females at the college. $$\begin{array} { l c c } \text { Major } & \begin{array} { l } \text { Relative frequency } \\\text { for women }\end{array} & \begin{array} { c } \text { Relative frequency } \\\text { for men }\end{array} \\\hline \text { Humanities } & 0.207 & 0.157 \\\text { Science } & 0.299 & 0.354 \\\text { Social Science } & 0.171 & 0.375 \\\text { Other } & 0.323 & 0.114\end{array}$$ A student is selected at random from the college. Determine the probability that the student Selected is female given that he or she is a Humanities major.

• A)0.114
• B)0.619
• C)0.207
• D)0.637

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Definitions:

Larynx

The organ in the throat involved in breathing, sound production, and protecting the trachea against food aspiration; also known as the voice box.

Vocal Cords

Folded membranes within the larynx that produce sound when air is expelled from the lungs, causing them to vibrate.

Pharynx

A muscular tube that connects the mouth and nasal cavity to the esophagus and larynx, serving both respiratory and digestive functions in vertebrates.

Throat Region

The anterior part of the neck, through which food and air pass to the esophagus and trachea respectively.