Suppose that a random variable
isknown to be uniform so that
Asample of size n is taken and the maximum
isrecorded so that
Given any number 0 
The probability that
and
is
The probability that
and
is
Continuing in this way, for the sample of size
theprobability that all the
areless than
is
sothat
The probability density function
is
The expectation value ofis
The bias is then