An Applicant Must Score at Least 80 Points on a Particular

question 109

Essay

An applicant must score at least 80 points on a particular psychological test to be eligible for the Peace Corps. From nearly 30 years experience, it is known 60% of the applicants meet this requirement. Let the random variable x be the number of applicants who meet this requirement out of a (randomly selected) group of 25 applicants.
Find the mean of x.
______________
Find the standard deviation of x.
______________
Using the Empirical Rule, within what limits would you expect most (say, 95%) of the measurements to be?
________________________________________________________

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Definitions:

DSM-IV

The Diagnostic and Statistical Manual of Mental Disorders, Fourth Edition, a manual published by the American Psychiatric Association which outlines the standard criteria for the classification of mental disorders.

Psychological Disorders

A wide range of mental health conditions characterized by significant disturbances in thought, emotion, or behavior.

Medical Students' Disease

A phenomenon where medical students believe they are experiencing the symptoms of the diseases they are studying.

Psychologically Disordered Behaviors

Actions or patterns of behavior that are associated with distress, disability, or significantly increased risk of suffering, death, pain, disability, or loss of freedom.