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Student Admissions Are Based on the Following Table, Which Shows

Question 228

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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 was admitted." (Round your answer to the nearest 0.01) . 200399400499500599600699700800 Total  Admitted 62121,1242,8825,2979,521 Not  Admitted 6873,5019,54712,2305,15031,115 Total  Applicants 6933,71310,67115,11210,44740,636\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 & 1,124 & 2,882 & 5,297 & 9,521 \\\hline \begin{array} { l } \text { Not } \\\text { Admitted }\end{array} & 687 & 3,501 & 9,547 & 12,230 & 5,150 & 31,115 \\\hline \begin{array} { l } \text { Total } \\\text { Applicants }\end{array} & 693 & 3,713 & 10,671 & 15,112 & 10,447 & 40,636 \\\hline\end{array}


A) 0.23
B) 0.13
C) 0.31
D) 0.24
E) 0.77

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