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Can a binomial histogram be bimodal? Can you please explain?
2 Answers
- MarkLv 71 decade agoFavorite Answer
Only in the special case where n=1, p=1/2. Toss a coin once. What does the theoretical histogram look like? Two bars, one at x=0, one at x=1, BOTH WITH HEIGHT =1/2, so both are modes -- bimodal, but in a degenerate case. where x = the number of heads tossed, for example.
Once n>1, the formula C(n,x)p^x(1-p)^n-x is always unimodal.
Source(s): Try this applet, setting n=1 http://www.stat.tamu.edu/~west/applets/binomialdem... - 5 years ago
This histogram is a representation of all the shades in a photograph from black to white. Generally, a photograph needs to be exposed to fit the whole dynamic range within the limits of the histogram. With digital photography and slide film, it is most important to keep the highlights of the image behind the right of the histogram. With negative film, it is important to keep the shadows behind the left of the histogram. These rules aren't strict. There are photographs where there arent any true black or white areas and there are also photographs where intentionally they have been overexposed and so the highlights go way beyond the right of the histogram.