# lecture6 - Binomial D istribution Four Assumptions or...

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Binomial Distribution Four Assumptions or properties of a Binomial The sample consists of a fixed number of observations, n . Each observation is classified into one of two mutually exclusive and collectively exhaustive categories, called success and failure . The probability of an observation being classified as a success, p , or a failure, 1 - p , is constant over all observations. The outcome (success or failure) of any observation is independent of the outcome of any other observation. Binomial probability distribution is a discrete distribution determined by two parameters : sample size , n probability of success , p Random variable X = number of successes and its range is always 0 to n Probabilities are the chance of having certain number/s of successes Total of all probabilities equals 1.0 "Expected Value of X" = E(X) = Mean = np NOTE: Do not round, report as a number with a decimal portion TI-83 functions: located under 2 nd | DISTR 0:binom pdf ( used when X is
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