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Student Admissions Are Based on the Following Table, Which Shows

question 255

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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 who had a Math SAT below 400 was admitted." (Round your answer to the nearest 0.01) . 200399400499500599600699700800 Total  Admitted 72121,1352,8825,3229,558 Not  Admitted 7793,5028,70012,2305,15030,361 Total  Applicants 7863,7149,83515,11210,47239,919\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 } & 7 & 212 & 1,135 & 2,882 & 5,322 & 9,558 \\\hline \begin{array} { l } \text { Not } \\\text { Admitted }\end{array} & 779 & 3,502 & 8,700 & 12,230 & 5,150 & 30,361 \\\hline \begin{array} { l } \text { Total } \\\text { Applicants }\end{array} & 786 & 3,714 & 9,835 & 15,112 & 10,472 & 39,919 \\\hline\end{array}


Definitions:

Self-Actualization

The fruition or fulfillment of a person's gifts and capabilities, recognized as an inherent impulse or demand in each individual.

Situational Factor

A variable that influences an individual's behavior or decision-making process, depending on the current situation or environment.

"Blank Slate"

The theory that individuals are born without built-in mental content, and that all knowledge comes from experience or perception.

Genetic Inheritance

The process through which genes and traits are passed down from parents to their offspring, determining various physical and sometimes behavioral characteristics.

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