Student Admissions Are Based on the Following Table, Which Shows

question 123

Short Answer

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). $$\begin{array} { | l | l | l | l | l | l | l | } \hline & \mathbf { 2 0 0 } - \mathbf { 3 9 9 } & \mathbf { 4 0 0 } \mathbf { - \mathbf { 4 9 9 } } & \mathbf { 5 0 0 } \mathbf { - 5 9 9 } & \mathbf { 6 0 0 } \mathbf { - 6 9 9 } & \mathbf { 7 0 0 } \mathbf { - 8 0 0 } & \text { Total } \\\hline \text { Admitted } & 5 & 212 & 1,124 & 2,882 & 5,258 & 9,481 \\\hline \begin{array} { l } \text { Not } \\\text { Admitted }\end{array} & 687 & 3,506 & 9,860 & 12,230 & 5,150 & 31,433 \\\hline \begin{array} { l } \text { Total } \\\text { Applicants }\end{array} & 692 & 3,718 & 10,984 & 15,112 & 10,408 & 40,914 \\\hline\end{array}$$ ​
Enter your answer in decimal form, not as a fraction.
The probability is __________.

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Definitions:

Field Experiment

An experiment conducted in a real-world setting.

Quasi-Experiment

An empirical study used to estimate the causal impact of an intervention, lacking the full random assignment of participants to conditions or orders.

Debriefed

The process of providing a detailed explanation or information to participants after an experiment or significant event has concluded.

Confounding

Occurs when the effects of two variables cannot be separated.