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PROBABILITY

 

PROBABILITY(X1, X2, mu, sigma)  returns the probability (as a fraction less than 1) that a value X will lie between X1 and X2 in a normal distribution having average mu and standard deviation sigma. 

 

The PROBABILITY(X1, X2, mu, sigma) function is described mathematically as follows:

 

The normal distribution has the familiar bell-shape as shown in the figure below.

 

 

The PROBABILITY function returns the value of a specified area under this curve.  For example,

 

sigma=0.1

P=PROBABILITY(sigma, 2*sigma, 0, sigma)

 

will result in P=0.1359 which corresponds to the gray-shaded area on the right side of the Gaussian curve.

 

 

Mathematical Functions