Chapter+8

This material will help you review Chapter 8.

__BINOMIAL PROABILITY DISTRIBUTIONS__

In order for a probability distribution to be a binomial probability distribution four (4) requirements must be met. They are: (1) only two outcomes or choices exist (eg. right/wrong; works/doesn't work; boy/girl) (2) each trial is independent of each other (the outsome of one trial has no influenece on the outcome of another) (3) there are a fixed number of trials (This is usually defined as n.) (4) The probability of success (usually defined as p ) stays the same throughout the experiment.

The mean of a binomial probability distribution is found by multiplying the product of the number of trials (n) and the probability of success (p). The mean is n times p.

The standard deviation of a binomial probability distribution is found by taking the square root of the product of the number of trials, times the probability of success, times the probability of failing. Standard deviation of a binomial = square root ( (//n//)(//p//)(//1-p//) = square root ( (//n//)(//p//)(//q//))

__GEOMETRIC PROBABILITY DISTRIBUTIONS__

In order for a probability distribution to be a geometric probability distribution four (4) requirements must be met. They are: (1) only two outcomes or choices exist (eg. right/wrong; works/doesn't work; boy/girl) (2) each trial is independent of each other (the outsome of one trial has no influenece on the outcome of another) (3) The probability of success (usually defined as p ) stays the same throughout the experiment. (4) There is NOT a fixed number of trials. The variable //n// is the number of trials until there is a success.

The mean of a geometric probability distribution is the reciprocal of the probability of success. The mean of a geometric probability distribution is 1///p//.