Binomial inverse cumulative distribution function
X = binoinv(Y,N,P)
X = binoinv(Y,N,P) returns
the smallest integer
X such that the binomial cdf
X is equal to or exceeds
You can think of
Y as the probability of observing
N independent trials where
the probability of success in each trial. Each
a positive integer less than or equal to
be vectors, matrices, or multidimensional arrays that all have the
same size. A scalar input is expanded to a constant array with the
same dimensions as the other inputs. The parameters in
be positive integers, and the values in both
lie on the interval [0 1].
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?
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.