Computes the binomial cumulative distribution function.
cdfBinomial(successes, trials, prob)¶
- successes (NxK matrix, Nx1 vector or scalar) – Must be a positive number and must be less than trials
- trials (LxM matrix) – ExE conformable with successes. trials must be greater than successes.
- prob (PxQ matrix) – ExE conformable with successes. The probability of success on any given trial with successes \(0 < prob < 1\).
p (NxK matrix, Nx1 vector or scalar) – Each element in p is the binomial cdf value evaluated at the corresponding element in x.
What are the chances that a baseball player with a long-term batting average of .317 could break Ichiro Suzuki’s record of 270 hits in a season if he had as many at bats as Ichiro had that year, 704?
/* ** We will find the cumulative probability ** of our player getting 270 or ** fewer hits in the season */ // Number of successes successes = 270; // Number of trials trials = 704; // Probability of success prob = 0.317; // Call cdfBinomial p = cdfBinomial(successes, trials, prob); p = 0.9999199430052614
Therefore the odds of this player breaking Ichiro’s record:
1-p = 0.0000000000037863 or 0.0000000003786305%
For invalid inputs,
cdfBinomial() will return a scalar error code which,
when its value is assessed by function
scalerr(), corresponds to the
invalid input. If the first input is out of range,
scalerr() will return a
1; if the second is out of range,
scalerr() will return a 2; etc.