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The Two-Way Table Summarizes Data from the Human Resource Department

question 32

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The two-way table summarizes data from the human resource department at a university: New Hires  Tenure  Adjunct  Total  Men 202343 Women 162440 Total 364783\begin{array} { l | c c | c } & \text { Tenure } & \text { Adjunct } & \text { Total } \\\hline \text { Men } & 20 & 23 & 43 \\\text { Women } & 16 & 24 & 40 \\\hline \text { Total } & 36 & 47 & 83\end{array} What is the probability (rounded to three decimal places) that a tenure-track new hire is female?


Definitions:

Random

The lack of pattern or predictability in events, often referring to a selection method where each item has an equal chance of being chosen.

Manic-Depressive Illness

Also known as bipolar disorder, a mental health condition characterized by extreme mood swings, including emotional highs (mania or hypomania) and lows (depression).

Probability

The chance or likelihood that an event will happen, quantified as a number between 0 (impossible) and 1 (certain).

Biased Coin

A modified or manipulated coin which does not have an equal probability of landing on heads or tails, thus influencing the outcome of a flip.

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