I've got a problem: I take a random variable, assign values to it and than I have to invent two different probability distribution functions with similar mean values (+-5%), but in the second function I have to reduce standard deviation by 50% in respect to the first case. How do I change the PDF so that standard deviation is reduced in a most optimal way?
Thanks.
Sample data:
x: 1 2 3 4 5 6 7 8 9 10
pdf1: 0.15 0.2 0.1 0.12 0.09 0.07 0.11 0.06 0.051 0.049
stdev1: 0.047844656
I need a pdf2 with stdev2 <= 0.0235.