Statistics: binocdf

### Function Reference: `binocdf`

statistics: p = binocdf (x, n, ps)
statistics: p = binocdf (x, n, ps, `"upper"`)

Binomial cumulative distribution function (CDF).

For each element of x, compute the cumulative distribution function (CDF) of the binomial distribution with parameters n and ps, where n is the number of trials and ps is the probability of success. The size of p is the common size of x, n, and ps. A scalar input functions as a constant matrix of the same size as the other inputs.

`p = binocdf (x, n, ps, "upper")` computes the upper tail probability of the binomial distribution with parameters n and ps, at the values in x.

Further information about the binomial distribution can be found at https://en.wikipedia.org/wiki/Binomial_distribution

See also: binoinv, binopdf, binornd, binofit, binolike, binostat, binotest

Source Code: binocdf

### Example: 1

     ## Plot various CDFs from the binomial distribution
     x = 0:40;
     p1 = binocdf (x, 20, 0.5);
     p2 = binocdf (x, 20, 0.7);
     p3 = binocdf (x, 40, 0.5);
     plot (x, p1, "*b", x, p2, "*g", x, p3, "*r")
     grid on
     legend ({"n = 20, ps = 0.5", "n = 20, ps = 0.7", ...
              "n = 40, ps = 0.5"}, "location", "southeast")
     title ("Binomial CDF")
     xlabel ("values in x (number of successes)")
     ylabel ("probability")