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According to a Manager It Takes an Average Weekday Commute

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According to a manager it takes an average weekday commute of 39 minutes with a Standard Deviation of 7 minutes for the employees to get to work when they use their personal vehicles for their office commute while management set a policy of not more than 40 minutes for their daily one-way commute.  A survey conducted one day on 70 employees showed an average of 34 minutes commuting time using the metro public transportation system with a Standard Deviation of 21 minutes. For the employees choosing to increase their chances to come on time using personal transportation their variation should be reduced to ___________?


Definitions:

Continuous Random Variable

A variable that can assume an infinite number of values in a continuous range.

Standard Deviation

A measure of the amount of variation or dispersion in a set of values, indicating how much the values differ from the mean of the set.

Normal Curve

Also known as the Gaussian distribution, a bell-shaped curve that is symmetric about the mean, showing the distribution of variables as naturally occurring in many processes.

Uniform Probability Density Function

A type of probability distribution in which all outcomes are equally likely, represented by a flat, constant function over its range.

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