American women in terms of their physical heights.
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The normal distribution would be a standard normal distribution if it had a mean of 0 and standard deviation of 1.
No. The curve in a normal distribution goes on out to plus and minus infinity. You might never see any observations out there, but if you were to make an infinite number of observations, you theoretically would.
They are said to be Normally distributed.
Yes. You could have a biased sample. Its distribution would not necessarily match the distribution of the parent population.
the variance is infinitely large and in the extreme case the probability distribution curve will simply be a horizontal line