Re: Probability Density Function

• To: mathgroup at smc.vnet.net
• Subject: [mg74822] Re: [mg74790] Probability Density Function
• From: Bob Hanlon <hanlonr at cox.net>
• Date: Fri, 6 Apr 2007 04:25:50 -0400 (EDT)
• Reply-to: hanlonr at cox.net

```Needs["Statistics`"];
Needs["Graphics`"];

mu=10;sigma=5/2;

f[x_]=PDF[NormalDistribution[mu,sigma],x];

FilledPlot[f[x]{UnitStep[x-8],1},
{x,mu-3sigma,mu+3sigma},
Fills->{White,LightBlue}];

FilledPlot[f[x]{(UnitStep[x-7.5]-UnitStep[x-11]),1},
{x,mu-3sigma,mu+3sigma},
Fills->{LightBlue,White}];

Bob Hanlon

---- Tony Harris <tdh1967 at bellsouth.net> 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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