On Mon, 11 Aug 2003 17:10:38 -0500, "K L" <[EMAIL PROTECTED]> wrote:
> Folks, > > I have one question. Please let me know if any of you know the answer to my > question. > > 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. > Do any one know how to find the two separate distributions? > Is the answer distribution 1 : N(25,3) and distribution 2: N(25,4) correct ? If X is N(25,3) and Y is N(25,3) and X and Y are *uncorreleted* RVs, then Z=X+Y is N(50,5). If you mean by "add two distributions" that you are going to add the RVs defined by these distributions then your answer is correct - if you add the condition that X and Y are uncorrelated. -- Horst . . ================================================================= Instructions for joining and leaving this list, remarks about the problem of INAPPROPRIATE MESSAGES, and archives are available at: . http://jse.stat.ncsu.edu/ . =================================================================
