In this project we will use the following command package. Type and execute this line before begining the project below. The number on the right side of the graph is the probability expressed iin a percentage. We can also enter negative z values. Lets define a variation of the standard distribution plotting procedure.
Lets now consider the simplest situation.
The mean is zero, the standard deviation is one, and the data value is one. This can be considered a normal distribution standardized. As you can see the distributions look the same but shifted over. So in both cases the date value is exactly one standard deviation above the mean. Both distributions have a total area of 1, which is a necessity for all probability distributions.