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.