Binomial Theorem - Math is Fun Now on to the binomial We will use the simple binomial a+b, but it could be any binomial Let us start with an exponent of 0 and build upwards Exponent of 0 When an exponent is 0, we get 1: (a+b) 0 = 1 Exponent of 1 When the exponent is 1, we get the original value, unchanged: (a+b) 1 = a+b Exponent of 2
Binomial Distribution: Formula, What it is, How to use it Where var(p) is the variance of the average value of the distinct probability distributions As a consequence, if mixed binomial variables are treated as pure binomials, the mean would be correct but the variance would be underestimated when using the “binomial estimator” np(1- p) [4] History of the Lexian Distribution