Standard Normal Distribution | Properties, Skewness, Mean, Variance

Standard Normal Distribution

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Question

Which of the following is/are true about a standard normal distribution?

I. It has zero skewness.

II. It is characterized completely by exactly one parameter.

III. It ranges from negative infinity to positive infinity.

IV. It has a non-zero mean and variance.

Answers

Explanations

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A. B. C. D. E. F. G. H.

Explanation

A normal distribution is characterized by two parameters, the mean and the variance. The standard normal distribution, though, has a zero mean and a variance of

1 and hence, has no free parameters.