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in this video were gonna go over the standard normal distribution as well as some equations that you need to be familiar with after that were gonna work on some problems so you could see how to put these formulas to good use so the normal distribution has the shape of a bell curve it looks something like that now the notation for it perhaps youve seen this in your book is the random variable X so for a normal distribution you have two important parameters that you need to know that is the mean and the standard deviation represented by the symbol Sigma that kind of looks like Fayette Emma there it is now the mean is right in the middle of the bell curve and here this would be one standard deviation from the mean and over here this will be about one standard deviation away from the mean on the left side the z-score that corresponds to one standard deviation is simply one when X is less than the mean the z-scores are negative so two standard deviations away from the mean z is equal to