Evaluate the integral. 
Definitions:
Random Sample
A subset of a statistical population where each member has an equal chance of being chosen.
Variability
The measure of how spread out or scattered the points in a data set are.
Average Ages
The mean age of a group of individuals, calculated by summing their ages and dividing by the number of individuals.
Standard Deviation
A measure that quantifies the amount of variation or dispersion of a set of data values from the mean value of the dataset.
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