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Which of the following is NOT a characteristic of the standard normal distribution?
The area beneath the standard normal distribution curve is exactly equal to $1$.
The mean is $0$ and the standard deviation is $1$.
The curve is bell-shaped and symmetric about its peak which occurs at the median.
The distribution contains higher frequencies for values near the center and smaller frequencies for values to the far left and far right of the center.
As the sample size increases, the standard deviation will decrease.