The idea is to produce random numbers within a specified range, but with a skewed average. What you describing wil not only transform the average, but also the range.
Eg. random numbers in the 0 .. 100 will, over time, tend towards an average of 50. If the desired average was say 75, then your math will produce a set of values in the range:
( 0 - 50 + 75 ) .. ( 100 - 50 + 75 ) := 25 .. 125
Which will tend towards the desired average, but is the wrong range. (I did a similar thing with my first attempt above).
The transformation required is not linear, but statistical.
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