Chapter 5 Flashcards
Random Variable
A variable whose values are determined by chance
Discrete Probability Distribution
Consists of the values a random variable can assume and the corresponding probabilities of the values. The probabilities are determined theoretically or by observation.
Theoretical probability distributions
You don’t have to perform the experiments to compute the probabilities.
At least ____ trials
1-binomialcdf
The “X” is then one value less than # given.
Fewer than _____ trials
Binomialcdf
Then “X” value is one less than # given
Exactly _____ trials
Binomialpdf
All values are the same
Expected Value
For a discrete random variable of a probability distribution is the theoretical average of the variable.
If expected value of the game is 0
The game is considered fair
If expected value of the game is positive
The game is in favor of the player
If expected value of the game is negative
The game is in favor of the house
Trial
Each repetition of the experiment
Binomial experiment
A probability experiment that satisfies the following four requirements
Binomial experiment requirements
1.) Must be a fixed # of trials.
2.) Each trial can only have 2 outcomes or outcomes that can be reduced to two outcomes.
3.) The outcomes must be independent of one another.
4.) Probability of success must remain the same for each trial.
Binomial Distribution
The outcomes of a binomial experiment and the corresponding probabilities of these outcomes
Outcomes are classified as
Successes or failures