BackBinomial Distribution definitions
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1/15BackSkip to main contentBackBinomial Experiment
A process with two possible outcomes per trial, repeated a fixed number of times, where each trial is independent. Success
A desired outcome in a binomial experiment, such as landing heads in a coin flip or pulling a red marble. Failure
The alternative outcome to success in a binomial experiment, like tails in a coin flip or pulling a blue marble. Trial
A single repetition of a binomial experiment, such as one coin flip or one marble draw. Probability of Success
The likelihood of achieving the desired outcome in a single trial, denoted by p. Probability of Failure
The likelihood of not achieving the desired outcome in a single trial, calculated as 1 minus p and denoted by q. Discrete Random Variable
A variable representing countable outcomes, such as the number of successes in a binomial experiment. Number of Trials
The total count of independent repetitions in a binomial experiment, denoted by n. Expected Value
The average number of successes anticipated in a binomial experiment, found by multiplying n and p. Standard Deviation
A measure of variability in the number of successes, calculated as the square root of n times p times q. Variance
The squared value of the standard deviation, representing the spread of possible outcomes in a binomial experiment. Complement
The probability of the opposite event, used to simplify calculations for ranges of outcomes. Combination
A count of possible ways to arrange a specific number of successes among trials, often written as n choose x. Binomial Probability Formula
An equation combining combinations, probabilities of success and failure, to find the chance of a specific number of successes. Cumulative Probability
The total probability of achieving up to a certain number of successes, often calculated using binom CDF.
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