The probability density of the standardized normal distribution is described in the related link. It is the same as a normal distribution, but substituted into the equation is mean = 0 and sigma = 1 which simplifies the formula.
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A bell shaped probability distribution curve is NOT necessarily a normal distribution.
When its probability distribution the standard normal distribution.
The total area of any probability distribution is 1
I apologize my question should have read what are the characteristics of a standard normal probability distribution? Thank you
Yes.