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A Researcher Investigated Whether a Student's Seat Preference Was Related

Question 175

Short Answer

A researcher investigated whether a student's seat preference was related in any way to the gender of the student. The researcher divided a lecture room into three sections (1-front, middle of the room, 2-front, sides of the classroom, and 3-back of the classroom, both middle and sides) and noted where each student sat on a particular day of the class. The researcher's summary table is provided below.  Area 1  Area 2  Area 3  Total  Male 168933 Female 13101639 Total 29182572\begin{array}{l|ccc|c} & \text { Area 1 } & \text { Area 2 } & \text { Area 3 } & \text { Total } \\\hline \text { Male } & 16 & 8 & 9 & 33 \\\text { Female } & 13 & 10 & 16 & 39 \\\hline \text { Total } & 29 & 18 & 25 & 72\end{array}

Suppose a person sitting in the front, middle portion of the class is randomly selected to answer a question. Find the probability that the person selected is female.
A) 1329\frac { 13 } { 29 }

B) 13\frac { 1 } { 3 }

C) 2939\frac { 29 } { 39 }

D) 1372\frac { 13 } { 72 }

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