QUESTIONS ABOUT :

Symmetric Distribution

C. The tails of such a distribution never touch the x-axis no matter how close they come to it.
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Unlike asymmetrical distribution, symmetrical distribution does not skew. A symmet...
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The Normal distribution is, by definition, symmetric. There is no other kind of Normal distribution, so the adjective is not used.
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The Binomial distribution with p = 1/2 is symmetric.
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The statement is false. The binomial distribution (discrete) or uniform distribution (discrete or continuous) are symmetrical but they are not normal. There are others.
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Useful sites about:

Symmetric Distribution

A situation in which the values of variables occur at regular frequencies, and the mean, median and mode occur at the same point. Unlike asymmetrical ...
www.investopedia.com
In statistics, a symmetric probability distribution is a probability distribution—an assignment of probabilities to possible occurrences—which is unchanged when ...
en.wikipedia.org
For example, a zero value indicates that the tails on both sides of the mean balance out, which is the case both for a symmetric distribution, and for asymmetric ...
en.wikipedia.org