Section 4.2 Binomial Distributions
A binomial experiment is a probability experiment that satisfies these
The experiment has a ______________________ number of trials, where each
trial is independent of other trials.
There are only _____________ possible outcomes of interest for each trial.
Each outcome can be classified as _________________________ or
The probability for success is ______________________________ for each trial.
The random variable
counts the number of successful trials.
Notation for Binomial Experiments
___________: the number of trials
___________: the probability of success in a single trial
___________: the probability of failure in a single trial
___________: the random variable that represents a count of the number of successes is
Note: Success __________________________ always mean that something good occurred!
Ex. 1: From a standard deck of cards, you pick a card, note whether or not the card is
a club, and then replace the card. This experiment is repeated 5 times. Does this
represent a binomial experiment? If so, find
࠵?, ࠵?, ࠵?, and list all possible values of ࠵?.
it is not a binomial experiment, explain why.