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Student Admissions Are Based on the Following Table, Which Shows

question 117

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Student admissions are based on the following table, which shows the profile, by Math SAT I scores, of admitted students at some university for the Fall 2004 semester. Determine the theoretical probability of the event: "An applicant had a Math SAT of 700 or above or was admitted." (Round your answer to the nearest 0.01) . 200399400499500599600699700800 Total  Admitted 102121,1502,8825,3999,653 Not  Admitted 7433,5069,07912,2305,15030,708 Total  Applicants 7533,71810,22915,11210,54940,361\begin{array} { | l | l | l | l | l | l | l | } \hline & \mathbf { 2 0 0 } - \mathbf { 3 9 9 } & \mathbf { 4 0 0 } - \mathbf { 4 9 9 } & \mathbf { 5 0 0 } - \mathbf { 5 9 9 } & \mathbf { 6 0 0 } - \mathbf { 6 9 9 } & \mathbf { 7 0 0 } - \mathbf { 8 0 0 } & \text { Total } \\\hline \text { Admitted } & 10 & 212 & 1,150 & 2,882 & 5,399 & 9,653 \\\hline \begin{array} { l } \text { Not } \\\text { Admitted }\end{array} & 743 & 3,506 & 9,079 & 12,230 & 5,150 & 30,708 \\\hline \begin{array} { l } \text { Total } \\\text { Applicants }\end{array} & 753 & 3,718 & 10,229 & 15,112 & 10,549 & 40,361 \\\hline\end{array}


Definitions:

AND

A logical operator that yields true only if all the operands or expressions being compared are true.

Clustered Column Chart

A type of bar chart that groups related data bars together to facilitate comparison across categories.

Stacked Column Chart

A graphical representation of data where different values are stacked on top of each other in columns, showcasing parts of the whole.

100% Stacked Column Chart

A 100% stacked column chart is a graphical representation of data where multiple categories are stacked on top of each other in columns to total 100%, showing the relative percentage of each category.

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