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:

Bilateral Contract

An agreement involving two parties where each promises to perform an act in exchange for the other's act.

Unilateral Contract

A legal agreement in which only one party makes a promise or undertakes a performance obligation in exchange for an act by the other party.

Breach of Contract

An act of breaking the terms set out in a contract, which can result in legal consequences for the party that fails to honor its commitments.

True Value

The genuine or actual worth of an item, service, or financial instrument as determined by underlying characteristics and market conditions.