- Five Conditions of the Binomial Distribution
- Series of N trials
- Only 2 possible outcomes
- The outcomes are mutually exclusive
- Independence between outcomes of each trial
- The probability of each possible outcome on any trail stays the same from trial to trial
Binomial Expansion
(P+Q)N
P = probability of one of the outcomes
Q = probability of the other outcome
N = Number of trials
Equation for expanding from note 9.1
When you expand you find that
the coefficient =
can substitute the probabilities for P and Q
As N increases curve gets more normal
Using the Binomial Table