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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The standard deviation in a standard normal distribution is 1.
The standard deviation in a standard normal distribution is 1.
The standard normal distribution is a special case normal distribution, which has a mean of zero and a standard deviation of one.
Yes, the normal distribution, standard or not is always continuous.
The mean of a standard normal distribution is 0.