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Q: Does a normal probability distribution include a bimodal distribution?

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no

No. Normal distribution is a continuous probability.

Bimodal Distribution

Yes. When we refer to the normal distribution, we are referring to a probability distribution. When we specify the equation of a continuous distribution, such as the normal distribution, we refer to the equation as a probability density function.

A bell shaped probability distribution curve is NOT necessarily a normal distribution.

When its probability distribution the standard normal distribution.

Normal distribution is the continuous probability distribution defined by the probability density function. While the binomial distribution is discrete.

Yes.

You are likely familiar with the probability density function of the normal distribution--that is, the bell-shaped curve.A bimodal distribution is one whose probability density function has two 'humps' or maxima. In other words, values of the random variable are more likely to occur around where those two maxima occur than elsewhere, in the same way that values of a normally distributed random variable are more likely to occur around its maximum.

The total area of any probability distribution is 1

with mean and standard deviation . Once standardized, , the test statistic follows Standard Normal Probability Distribution.

I apologize my question should have read what are the characteristics of a standard normal probability distribution? Thank you

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