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I have set up an epidemic model, which works like this (mathematically):

A graph is plotted. We start at a point $(0,y_1)$. We then move along the 'x' axis for a random length determined by an exponential random variable. After this, at the graph randomly moves up one ,$y_1 + 1$, or moves down one, $y_1 - 1$. This process then keeps going on either until we reach $(0,0)$ or a set value along the x axis.

In terms of epidemiology, the 'y' axis represents the number of people infected by a disease, $y+1$ implies an infection, $y - 1$ implies a recovery, the 'x' axis represents the time between either an infection or a recovery.

I have been told to plot a histogram. They haven't told me what to plot it on, so its my choice. From this kind of model, what can I plot a histogram on?

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You have asked $12$ questions so far and have not accepted answers to any of them. Kindly read here on how to accept answers. meta.stackoverflow.com/questions/5234/… –  user17762 Nov 6 '12 at 23:24
    
You have asked many questions about plotting histograms, yet all of the questions would be easily answered if you did a little bit of legwork and read about what a histogram is and what it represents. –  Arkamis Nov 7 '12 at 0:36
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