http://mathworld.wolfram.c
?
I'm not completely clear..
could you elaborate on your example? N*d....
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Question
Normal Distribution (N)
Hello,
I want to know what the value is for N, where N = the Normal distribution function.
Basically, in an example I have, when calculating a value in the formula N * d, I calculate d which is a long formula and I derive the value, the example in the book doesn't show me how it got N to give N * d, it just gives me the answer of the product. I can simply divide to derive the value of N but I just want to be able to see its value on its own or in a different context.
Can somebody tell me what the value of N is and if possible the formula for it.
Thanks.
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Answers
If I remember correctly, the width of the normal distribution curve is basically controlled by the standard deviation d. In other words: Doubling d will double the width of the curve. Note that this does NOT imply that the value of N (the probability) would be doubled.
Assume
N(m = 0, x = 0, d=1) = 0.5
/* average m = 0, std dev. d = 1, value x = 0, probability that a value is smaller than x=0 is N=0.5 */
N(m = 0, x = 1, d=1) = 0.84
/* probability that any value is smaller than x=1 is N=0.84 */
Some results:
N(m = 0, x = 2, d = 1) = 0.98
N(m = 0, x = 1, d = 0,5) = 0.98
/* if the std. dev. is divided by 2 then x also must be divided by 2 in order for the probabilities to stay the same */
N(m = 0, x = 1, d = 2) = 0.69
N(m = 0, x = 0.5, d = 1) = 0.69
/* if x is divided by 2 then the std. dev. also must be divided by 2 in order for the probabilities to stay the same */
HTH, J
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by: InteractiveMindPosted on 2006-09-08 at 11:11:12ID: 17481844
You mean N, as in X~N(mu, s²) ?
That's just a notation, saying that the set X is normally distributed (with those parameters).
I imagine that you're thinking of the Normal distribution function, 'capital phi':
http://mathworld.wolfram.c
(which cannot be solved)