How to plot the binomial distribution for p = 0.3, p = 0.5 and p = 0.7 and the total number of trials n = 60 as a function of k the number of successful trials. For each value of p, determine 1st Quartile, median, mean, standard deviation and the 3rd Quartile. Present those values as a vertical box plot with the probability p on the horizontal axis.
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3$\begingroup$ Welcome to the site, @RamKotes. This is just a reiteration of your homework problem. What have you done so far, & where are you stuck? $\endgroup$– gung - Reinstate MonicaCommented Feb 20, 2013 at 0:34
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1$\begingroup$ Do you mean 'how do I compute the probabilities to plot?' or do you mean 'how do I get some package to draw this plot?' or something else? $\endgroup$– Glen_bCommented Feb 20, 2013 at 0:54
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1 Answer
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You could program the probability density function in Excel, for each $p$. The function is given on wikipedia: https://en.wikipedia.org/wiki/Binomial_distribution
For the quartiles, compute the points at which you get 25%, 50% and 75% of the area under the curve, again for each $p$. You can use the Excel function binom.inv. Then the boxplots are easy to find.
The mean and standard deviations are computable analytically (there are closed form formulas). Also see the wikipedia page.
If this is a homework question, you should tag it so?
