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:

Perimysium

A sheath of connective tissue that groups muscle fibers into bundles or fascicles within a muscle.

Endomysium

A thin layer of connective tissue that surrounds each individual muscle fiber, providing support and maintaining the spatial organization of muscle fibers.

Myofilaments

The filamentous components of muscles, comprising mainly of actin (thin filaments) and myosin (thick filaments), essential for muscle contraction.

Sarcoplasmic Reticulum

A specialized type of smooth endoplasmic reticulum found in muscle fibers, critical in regulating calcium ions and thus muscle contraction.