Statistics Ch. 12: Discrete Probability Distributions

Binomial Setting

1. Fixed number of observations

2. All observations are independent

3. There are only “success” and “failure” outcomes

4. The probability for “success”, s, is the same for each outcome

   1. This does not mean each outcome has a 50% chance of happening, just that each outcome has the same chance of happening (ex. chance of someone picking up is 20% everytime)

Ex) Baby births are independent and have equal chances of being a girl or boy

Binomial Distribution

The number of a specific occurrence in a binomial setting

BinomPDF

Use when x is exactly 1 number
Ex) X = 6

BinomCDF

Use when x can be several numbers
Ex) X > 6

Binomial Coefficient

(n over k) = n!/ k!(n-k)!