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Binomial experiments
a binomial experiment is a probability experiment the satisfies these conditions
Factors of binomial experiments
The experiments has a fixed number of trials, where each trial is independent of other trials
there are only 2 possible outcomes of interest for each trial. Each outcome can be classified as a success or a failure.
The probability for success is the same for each trial
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.