# Binomial Distribution

1. Nov 18, 2012

### Biosyn

1. The problem statement, all variables and given/known data

Find the value of Ʃn(18 n)(0.46)^2(0.54)^(18-n)
The sum is from n = 0 to n=18

Sorry, I do not know how to format it.

2. Relevant equations

I am using the Binomial Expansion Theorem:

3. The attempt at a solution

Not sure where to start.

P = 0.46
Q = 0.54
n = 18
k = ?

2. Nov 18, 2012

### Ray Vickson

More generally,
$$(a+b)^N = \sum_{n=0}^N {N \choose n} a^n b^{N-n}.$$

RGV