Standardizing the Normal Distribution

As you can see from the formula for the Normal Distribution in the previous post, the normal distribution has two parameters - the mean (mu) and the standard deviation (sigma). Other than those parameters, it's just a (complicated) function of x.

You know what that means? We have to integrate it! OOOOhh boy!

Well, fortunately for us, some math majors have taken it upon themselves to integrate this formula for us and calculate the definite integral between 0 and almost any positive value. That means we can use these handy-dandy tables to find out the probability of x falling between 0 and any value.

Finding the probability of x falling between a and b

Looking up Pr(0 < x < a ) in the table is helpful, but often we want to know the probability of x falling between two values, a and b, or Pr (x > a) or Pr(x < a). We can easily use the values in the table to determine any of these probabilities.

## Saturday, January 26, 2008

### Lecture 4 - Ch 6 - The Standard Normal Distribution

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