Re: binomial distribution
- To: mathgroup at smc.vnet.net
- Subject: [mg28026] Re: binomial distribution
- From: "Ian McInnes" <ian at whisper-wood.demon.co.uk>
- Date: Wed, 28 Mar 2001 02:40:58 -0500 (EST)
- References: <99pc8t$lar@smc.vnet.net>
- Sender: owner-wri-mathgroup at wolfram.com
To plot the discrete points from the PDF of the Binomial distribution, a
list must first be created. For example, to create a list of the points for
the Binomial distribution with sample size 10 and probability of success per
trial 0.7:
binpts = Table[PDF[BinomialDistribution[10, 0.7], x], {x, 0, 10}]
(the domain of the pdf is 0 to n).
There are numerous options for plotting these points.
To generate a basic line graph (appropriate when the sample size is large),
ListPlot may be used to plot it against the corresponding x-axis value
points (these are integers in the range 0 to n). Transpose is used to
convert the two lists into x, y pairs as required by ListPlot:
ListPlot[Transpose[{Range[0, 10], binpts}], PlotJoined->True];
This gives a plot with the individual points joined up - refer to the help
for other display options.
For fairly small sample sizes, a histogram would be better:
<<Graphics`Graphics`
Histogram[binpts, FrequencyData->True];
There are numerous graphics options and other possible graph types (e.g.
BarChart) that may be worth looking at.
Regards,
Ian McInnes.
"Kush Passi" <kpassi at mum.edu> wrote in message
news:99pc8t$lar at smc.vnet.net...
> hello,
>
> i have been using the binomial distribution function in the statistics
> packages and I wonder if there is a way to graph the binomial distribution
> when the same size and the probability of a success is known.
>
> *** Kush
>
>