| ALPHA : Statistics : Probability 02 : Normal Probability Distribution From Z : ALPHA Maths Homework Exercise
Description : Normal probability distribution from z.
Discussion : The normal distribution has a non zero mean value, and / or a standard deviation not equal to one. See Figure Standard Normal Probability Distribution
The homework exercise has 4 questions.
P(0 to z)
P(z to ∞)
P(-∞ to z)
P(-z to z)
The equations are :
p = P((z - m) / s) - 0 to z
p = 0.5 - P((z - m) / s) - z to ∞
p = 0.5 + P((z - m) / s) - -∞ to z
p = 2 P((z - m) / s) - -z to z
where
p = probability
z = value
m = mean
s = standard deviation
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