Stan Brown <[EMAIL PROTECTED]> wrote in news:[EMAIL PROTECTED]:
> In article <[EMAIL PROTECTED]> in sci.stat.math, K L > <[EMAIL PROTECTED]> wrote: >>I have a normal distribution with mean = 50 and standard deviation = 5 >>I want to divide this distribution into two separate normal distributions >>each with mean = 25 so that when I add them I will get my original >>distribution. > > This makes no sense. When you combine two distributions, the mean of > the combined distribution must be between the means of the separate > distributions: > MU = (MU1*N1 + MU2*N2) / (N1 + N2) > Therefore if the mean of the big distribution is 50, it _can't_ be > split into two distributions whose means are both 25. That's what I thought he was talking about at first, but after reading the original post a couple times it looks like he's saying that he's got an RV, X~N(50,5) and he wants to write X as Y1+Y2, where Y1~N(mu1,s1) and Y2~N(mu2,s2). In other words, "divide" here doesn't mean "partition." . . ================================================================= Instructions for joining and leaving this list, remarks about the problem of INAPPROPRIATE MESSAGES, and archives are available at: . http://jse.stat.ncsu.edu/ . =================================================================
