Continuous uniform distribution, Mathematics

Continuous Uniform Distribution

Consider the interest earned on a bank deposit. Let X equal the value after the decimal point. (Assume no rounding off to the nearest paise.) For instance, if the interest = Rs.72.587, then X = 0.587.

X can take any value between 0 and up to but not including 1. We may assume that each value is equally likely. In which case, X is said to have a continuous Uniform Distribution.

Figure 

2082_continuous uniform distribution.png

The probability density function of a typical random variable is given by

242_continuous uniform distribution1.png

Note that the area under the curve equals 1.

It can be shown:

m = E(X) = (a + b)/2

s2 = V(X) = (b - a)2/12                              

Posted Date: 9/15/2012 1:47:26 AM | Location : United States







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