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Q: Is standard normal distribution a probability distribution function?

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When its probability distribution the standard normal distribution.

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

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

with mean of and standard deviation of 1.

Zero.

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

It is the Standard Normal distribution.

a mean of 1 and any standard deviation

The normal distribution and the t-distribution are both symmetric bell-shaped continuous probability distribution functions. The t-distribution has heavier tails: the probability of observations further from the mean is greater than for the normal distribution. There are other differences in terms of when it is appropriate to use them. Finally, the standard normal distribution is a special case of a normal distribution such that the mean is 0 and the standard deviation is 1.

No. Normal distribution is a continuous probability.

The mean must be 0 and the variance must be 1.

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