You are here

A Waiting-Time Surprise

Consider 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.

Author(s): 
Richard Parris
Publication Date: 
Monday, June 9, 2014
Original Publication Source: 
College Mathematics Journal
Original Publication Date: 
January, 2008
Subject(s): 
Statistics and Probability
Probability
Univariate Distributions
Topic(s): 
Probability
Continuous Distributions, Other
Flag for Digital Object Identifier: 
Publish Page: 
Furnished by JSTOR: 
File Content: 
Rating Count: 
0.00
Rating Sum: 
0.00
Applicable Course(s): 
6.1 Probability & Statistics
7.2 Probability
Modify Date: 
Monday, June 9, 2014
No votes yet

Dummy View - NOT TO BE DELETED