# Elementary Probability and Statistics – Binomial Probability Distribution El Camino College Math 150 Statistics Cohort Coho…

Elementary Probability and Statistics – Binomial Probability Distribution El Camino College Math 150 Statistics Cohort Coho Act 13 Task 1: Many probability experiments have only two outcomes. Either we have a pop quiz tomorrow or we don’t, either I get the question right or wrong, either the couple has a girl or a boy. This type of probability distribution is called a binomial probability distributiorn must be certain criterion met before we can call an experiment a binomial probability 1. There must be a fixed number of trials. 2. For each trial there are two mutually exclusive outcomes. experiment: Typically these are referred to as success and failure. 3. The trials are independent of one another. That is, one does not affect the outcome of the other. 4. The probability of success is fixed for each trial of the experiment. Example #1 Determine if each of the following is an example of a Binomial Experiment: a) A random sample of 30 cars in a used car lot is obtained, and their mileages recorded. b) A poll of 1,200 registered voters is conducted in which the respondents are asked whether they believe Congress should reform Social Security. c) One hundred randomly selected US parents with at least one child under the age of 18 are surveyed and asked if they have ever spanked their child. The number of parents who have spanked their child is recorded. d) Three cards are drawn from a deck without replacement and the number of aces is recorded