Normal Distribution Calculator

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The Normal Distribution is also known as a Gaussian distribution. Normal Distribution Calculator  is very

significant in determining probability and it is also a very useful tool in statistics. It has a symmetric

distribution, and it is continuous and has a bell like shape curve.


Apart from above Normal Distribution is more popular because of the central limit theorem. It is also a useful

tool in determining the real valued variables which are difficult to be known. It is generally described by two

main parameters, one is mean and other is standard deviation.




Example1: - Find P (X<206) in the case where X is a normal random variable with mean 200 and the

standard deviation 6.


Solution:-  

Step 1: Now for a given value of X=206 

               Z = (206-200) /6

                   = 1

 Step 2: Now we know that from the table, the value of 1 in Z table.

               Z = 1 = 0.3413

 Step 3: Since the X value is greater than mean 

               P(X) = 0.5 + 0.3413 = 0.8413.




Example2:- Find P(X<406) in the case where X is a normal random variable with mean 400 and the standard

deviation 6.


Solution:-

Step 1: Now for a given value of X=206 

               Z = (406-400)/6

                   = 1

  Step 2: Now we know that from the table, the value of 1 in Z table.

               Z = 1 = 0.3413

  Step 3: Since the X value is greater than mean 

               P(X) = 0.5 + 0.3413 = 0.8413.


 

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