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Re: Probability Density Function



Hi Tony,

here is a simple approach consisting of creating the different pieces 

and showing them together:

<< Graphics`FilledPlot`

fun[x_]:=Exp[-x^2];

g1=FilledPlot[fun[x],{x,-1,1}];

g2=Plot[fun[x],{x,-3,3}];

Show[g1,g2]

and

fun[x_]:=Exp[-x^2];

g1=FilledPlot[fun[x],{x,-3,-1}];

g2=FilledPlot[fun[x],{x,1,3}];

g3=Plot[fun[x],{x,-3,3}];

Show[g1,g2,g3]

Daniel



Tony Harris wrote:

> Hello,

> 

> I have graphed a normal probability density function with a mean of 10 and a 

> standard deviation of 2.5.  I named this function f[x]

> 

> I wanted to know how to use the "FilledPlot" to show the area under the 

> curve for (x<8) and (7.5<x<11).

> 

> I have the probability for x<8 to be .212 and for 7.5<x<11 to be .497 by 

> calculating the definite integral of the function f[x] for these two 

> probabilities.

> 

> I have the cacluation of the probabilities included but no idea on how to 

> continue and display each of these in a graph.

> 

> Thanks,

> 

> T Harris

> 

> 




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