EXAM 2 4.2 Binomial Distributions

Binomial experiments

a binomial experiment is a probability experiment the satisfies these conditions

Factors of binomial experiments

1. The experiments has a fixed number of trials, where each trial is independent of other trials

2. there are only 2 possible outcomes of interest for each trial. Each outcome can be classified as a success or a failure.

3. The probability for success is the same for each trial

4. The random variable x counts the number of successful trial

Notation for Binomial Experiments

N: the number if trials

P: the probability of success in a single trial

q=1-p: the probability of failure in a single trial

x: the random variable that represents a count of the number of successes in n trials

if x is a binomial random variable

n is the total number of trials, p is the probability of success and q is the probability of failure.