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The probability density function (PDF) of the normal distribution is:
f ( x) =
( x− )2
A normal random variable (X) has following characteristics:
EX = and Var( X ) = 2
A random variable is parameterized by mean ( ) and variance 2 . The mean ( ) is the
center of the distribution and the standard deviation ( ) is the measure of the variation
around the mean. Thus, a normal random variable is shown as N , 2 . The normal
distribution is a probability function depicting distribution of variable values. It is a
symmetric distribution wherein maximum observations cluster around the mean and the
probabilities for v...
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