The image above represents general binomial distribution.

To compute for general binomial distribution, four essential parameters are needed and these parameters are **n, r, q **and **q.**

The formula for calculating general binomial distribution:

P(r successes) = ^{n!}⁄_{(n – r)!r!}q^{(n – r)}p^{r}

Where;

P(r successes) = General Binomial Distribution

p = P(A)

q = P(not A)

Let’s solve an example;

Find the general binomial distribution when n is 8, r is 6, p is 1 and q is 0.

This implies that;

n = 8

r = 6

p = 1

q = 0

P(r successes) = ^{n!} ⁄ _{(n – r)!r!}q^{(n – r)}p^{r}

P(6 successes) = ^{8!} ⁄ _{(8 – 6)!6!}(0)^{(8 – 6)}(1)^{6}

P(6 successes) = ^{8!} ⁄ _{2!6!}(0)^{2}(1)^{6}

P(6 successes) = ^{40320} ⁄ _{(2)(720)}(0)^{2}(1)^{6}

P(6 successes) = ^{40320} ⁄ _{1440}(0)^{2}(1)^{6}

P(6 successes) = (28)(0)^{2}(1)^{6}

P(6 successes) = (28)(0)(1)

P(6 successes) = 0

Therefore, the **general binomial distribution **is **0.**

Continue reading How to Calculate and Solve for General Binomial Distribution | Probability