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What requirements are necessary for a normal probability distribution to be a standard normal probability?

For a normal probability distribution to be considered a standard normal probability distribution, it must have a mean of 0 and a standard deviation of 1. This standardization allows for the use of z-scores, which represent the number of standard deviations a data point is from the mean. Any normal distribution can be transformed into a standard normal distribution through the process of standardization.


When can you say the distribution is considered normal?

When its probability distribution the standard normal distribution.


What are the characteristics a standard normal probability distribution?

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


What is Normal of probability distribution?

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


Is normal distribution also a 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.


What is Normal of Standard Normal Probability Distribution?

with mean of and standard deviation of 1.


Distinguish between binomial distribution and normal distribution?

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


The mean of a standard normal probability distribution?

Zero.


What is The normal probability distribution with µ equals 0 and σ equals 1?

It is the Standard Normal distribution.


How does the standard normal distribution differ from the t-distribution?

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.


Why is the standard normal probability distribution unique?

a mean of 1 and any standard deviation


What requirements are necessary for a normal probability distibution to be a standard normal probability distribution?

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

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