Re: Probability Density Function

• To: mathgroup at smc.vnet.net
• Subject: [mg74816] Re: Probability Density Function
• From: dh <dh at metrohm.ch>
• Date: Fri, 6 Apr 2007 04:22:46 -0400 (EDT)
• References: <ev2beo\$kl0\$1@smc.vnet.net>

```
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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