lesson 1 - probability distributions Flashcards
what is a probability distribution
A probability distribution identifies the probability of all possible outcomes in a sample space. In other words, a probability distribution shows us how 1 or 100% is divided up amongst every possible outcome in a given probability experiment.
random variables
Random variables - When focusing on all outcomes when dealing with probability distributions, a random variable, X, to représente the particular event we are focusing on.
discrete uniform distribution
Discrete uniform distribution
When all outcomes in a distribution are equally likely in any single trial, we call this a uniform probability distribution.
P(X) = 1 / n
what is expected value
Expected value - an expectation/expected value, E(X), is the predicted average of all possible outcomes in a single trial of a probability experiment. Expected value is the long-run average.
Formula E(X) = x P(x)
what is fair game
0 expected value = fair game