## Standard normal distribution, Mathematics

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Q. Describe Standard Normal Distribution?

Ans.

The Standard Normal Distribution has a mean of 0 and a standard deviation of 1. The letter Z is often used to refer to a standard normal random variable.

Note that, although many applications in the real world have a normal distribution, rarely does anything in the real world follow a standard normal distribution. This is a convenient distribution that can be used (after some transformations) for ANY normal distribution. In the following examples, we will work through finding probabilities for a standard normal random variable.

Click here to see a table with probabilities for the standard normal distribution.

The area under the curve, the shaded area in this diagram, represents the probability of a normally distributed random variable obtaining a value less than z,.

The entries in the table are the probabilities that a random variable having the standard normal distribution assumes a value less than z.

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