The normal distribution is really a family of distributions. Is the standard normal distribution also a family of distributions?Explain.

Normal distributions
asked 2021-02-22
The normal distribution is really a family of distributions. Is the standard normal distribution also a family of distributions?Explain.

Answers (1)

The normal distribution is family of distributions. The distribution is said to be normally distributed when standard normal distribution is used in every instance.
The standard normal distribution is the only distribution which has mean of zero while standard deviation has value of one.
For example, If a specific distribution is assumed as normal distribution, z values are generally calculated by using the desirable properties of distribution.
Thus, one can say that the standard normal distribution is also a family of distribution.
Result: Yes, the standard normal distribution is also a family of distributions.
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