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Inverse of the binomial cumulative distribution function (cdf).
Syntax
X = binoinv(Y,N,P)
Description
binoinv(Y,N,P) returns the smallest integer X such that the binomial cdf evaluated at X is equal to or exceeds Y. You can think of Y as the probability of observing X successes in N independent trials where P is the probability of success in each trial. The parameter n must be a positive integer and both P and Y must lie on the interval [0 1]. Each X is a positive integer less than or equal to N.Examples
If a baseball team has a 50-50 chance of winning any game, what is a reasonable range of games this team might win over a season of 162 games? We assume that a surprising result is one that occurs by chance once in a decade.binoinv([0.05 0.95],162,0.5)
ans =
71 91
This result means that in 90% of baseball seasons, a .500 team should win between 71 and 91 games.