Re: Which distribution is this...

"Derek Ross" <[EMAIL PROTECTED]> wrote: > I have four coins in my hand. Each coin has a number on both sides. > All coins have a zero on one side, and the other side has a number > from 1 to 4. > > I then hurl the handful of coins at the ground, then add up the > values of all the coins. [...]

Re: Which distribution is this...

On 24 Dec 2000 08:04:17 -0500, [EMAIL PROTECTED] (Herman Rubin) wrote: >If there is a simple form, it will involve using results >from some version of number theory. The generating function >of the total is (\prod_1^n (1+x^k) )/2^n. If the mean n(n+1)/2 >is subtracted, the characteristic functio

Re: Which distribution is this...

In article , Derek Ross <[EMAIL PROTECTED]> wrote: >This is an odd distribution... I think it may somehow be related to the >binomial distribution, but I'm not certain. >The idea is difficult to explain, so here's a "real-life" example of >generating the distributio

Re: Which distribution is this...

Two comments: (1) If the coins are numbered (on the non-zero side) 1, 2, 4, 8, ... then each possible total occurs exactly once. If Derek's coins are labelled 0 and X (X = 1, 2, 3, ...), these new coins are labelled 0 and 2^(X-1). I don't know if this observation is helpful, since I don't

Which distribution is this...

This is an odd distribution... I think it may somehow be related to the binomial distribution, but I'm not certain. The idea is difficult to explain, so here's a "real-life" example of generating the distribution: I have four coins in my hand. Each coin has a number on both sides. All coins have