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Student Admissions Are Based on the Following Table, Which Shows

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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 of 700 or above was admitted." (Round your answer to the nearest 0.01) . 200399400499500599600699700800 Total  Admitted 62121,1502,8825,3769,626 Not  Admitted 7953,5088,91712,2305,15030,600 Total  Applicants 8013,72010,06715,11210,52640,226\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 } & 6 & 212 & 1,150 & 2,882 & 5,376 & 9,626 \\\hline \begin{array} { l } \text { Not } \\\text { Admitted }\end{array} & 795 & 3,508 & 8,917 & 12,230 & 5,150 & 30,600 \\\hline \begin{array} { l } \text { Total } \\\text { Applicants }\end{array} & 801 & 3,720 & 10,067 & 15,112 & 10,526 & 40,226 \\\hline\end{array}

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Less Restrictive Settings

An environment that offers the minimal level of restriction necessary on the personal freedom of individuals, often in the context of psychiatric or elder care, to safely meet their needs.

State Institutions

Government-run facilities or organizations that provide various services or interventions, including mental health care, corrections, or education.

Mental Illness

A broad category of conditions that affect a person's mood, thinking, and behavior, often leading to distress or impairment in daily functioning.

Voluntarily Hospitalized

The act of checking oneself into a healthcare facility for treatment by choice, without compulsion from others or legal mandates.

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