Lec. 11 – The Normal Distribution. Differences among these plots?

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Presentation transcript:

Lec. 11 – The Normal Distribution

Differences among these plots?

How to “standardize” (shift and stretch the Gaussian to a mean of 0 and a std. dev. of 1): Note that “any linear function of the normal variable X, aX+b, where a and b are constants, also has a normal distribution with mean = a  +b, and std. dev.= a  * See also “Comparing Normal Populations” in Davis, pp

Standardization and the use of tables…

Standard cumulative percentage table for a normally-distributed population

Table of percentage points for a normally-distributed population

Standardization to calculate exceedence

But, we don’t want to be tethered to these tables… Write a MATLAB code that calculates the values of the tables and displays them graphically (i.e. plot up the gaussian p.d.f. and its cumulative brother).