binoinv (Statistics Toolbox)

Inverse of the binomial cumulative distribution function (cdf)

Syntax

```
X = binoinv(Y,N,P)
```

Description

X = 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. Each X is a positive integer less than or equal to N.

Vector or matrix inputs for Y, N, and P must all have the same size. A scalar input is expanded to a constant matrix with the same dimensions as the other inputs. The parameters in N must be positive integers, and the values in both P and Y must lie on the interval [0 1].

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.

binofit binopdf