NAME: Jugal kanabar

 Roll no :2013054

Definition:

         The Normal Distribution is also called the Gaussian distribution. It is defined by two parameters mean ('average' m) and standard deviation (σ).

Formula:

X < mean = 0.5-Z
X > mean = 0.5+Z
X = mean = 0.5
Z = (X-m) / σ
where,
             m = Mean.
             σ = Standard Deviation.
             X = Normal Random Variable

Example: If X is a normal random variable with mean (m) 100 and standard deviation (σ) 6 find P(X<106)

  Step 1: For a given value X=106
               Z = (106-100)/6
                   = 1

  Step 2: Find the value of 1 in Z table
               Z = 1 = 0.3413

  Step 3: Here the X value is greater than mean
               P(X) = 0.5 + 0.3413 = 0.8413

Source: www.google.com