Binomial distribution functions
PDFBinomial(x,trials,probability)
PDFBinomial(x,trials,probability) returns the binomial probability of obtaining exactly x 'events' in the specified number of trials and probability of success for each trial.
Example: a fair coin is tossed 10 times. What is the probability that heads will appear exactly 5 times?
PDFBinomial(5,10,0.5) = 0.246
Calculator
Graph
CDFBinomial(x,trials,probability)
CDFBinomial(x,trials,probability) returns the cumulative binomial probability of obtaining x or fewer 'events' in the specified number of trials and probability of success for each trial.
Example: a fair coin is tossed 10 times. What is the probability that heads will appear at most 5 times?
CDFBinomial(5,10,0.5) = 0.623
Calculator
Graph
RNDBinomial(trials,probability)
RNDBinomial(trials,probability) generates a random number from the binomial distribution with specified number of trials and probability of success.
The mean of a random variable that has a Binomial distribution is trials x probability, and the variance is
trials x probability x (1-probability).
Calculator
BinomialLow(successes,trials,ival)
BinomialLow(successes,trials,ival) returns the lower bound of the ival% Confidence Interval of the Binomial probability of a number of successes in a number of trials
Calculator
BinomialHigh(successes,trials,ival)
BinomialHigh(successes,trials,ival) returns the upper bound of the ival% Confidence Interval of the Binomial probability of a number of successes in a number of trials.
Calculator