Random Variable (1)

Random variable

A variable with numeric values that can be determined from a random phenomenon

Discrete random variables

Random variables that have countable numbers of values, usually taking values like zero and positive integers

Continuous random variables

Random variables that are not integers but take values that lie in an interval

Probability distribution of discrete random variables

Lists all possible outcomes along with their respective probabilities, providing a summary of the likelihood of each outcome occurring

Tables of probability distributions

Each outcome is listed along with its corresponding probability, facilitating calculation and analysis

Graphs of probability distributions

Using bar graphs or histograms, with each bar representing an outcome and its height corresponding to its probability

Expected value (1)

The weighted average of all possible outcomes

Expected value (2)

Calculated by multiplying each outcome by its probability and summing the results

Cumulative distribution function

Probability that X will take on a value less than or equal to a specified value and denoted as F(x)

Probability mass function

A discrete random variable X is exactly equal to a specified value and denoted as P(X=x)