by Richard Parris
This article originally appeared in:
College Mathematics Journal
January, 2008
Subject classification(s):
Statistics and Probability | Probability | Univariate DistributionsApplicable Course(s):
6.1 Probability & Statistics | 7.2 ProbabilityConsider the sum of \(n\) random real numbers, uniformly distributed in the unit interval. Although the expected value of this sum is \(n/2\), the value of \(n\) for which this sum first exceeds a given target value \(t\) is expected to be more than \(2t\), by an amount that is asymptotically constant.
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Capsule Course Topic(s):
Probability | Continuous Distributions, Other