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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.

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

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The standard normal distribution has a mean of 0 and a standard deviation of 1.

The standard deviation in a standard normal distribution is 1.

The standard normal distribution is a normal distribution with mean 0 and variance 1.

The normal distribution would be a standard normal distribution if it had a mean of 0 and standard deviation of 1.

The standard deviation in a standard normal distribution is 1.

The standard normal distribution is a special case of the normal distribution. The standard normal has mean 0 and variance 1.

A mathematical definition of a standard normal distribution is given in the related link. A standard normal distribution is a normal distribution with a mean of 0 and a variance of 1.

Yes, the normal distribution, standard or not is always continuous.

The mean of a standard normal distribution is 0.

The standard normal distribution is a special case normal distribution, which has a mean of zero and a standard deviation of one.

When its probability distribution the standard normal distribution.

The standard normal distribution has mean 0 and variance 1. It is not clear what 0.62 has to do with the distribution.

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