A random variable is one whose value is unknown or a function that assigns values to each of an experiment’s outcomes. A random variable can be discrete or continuous.

Explain why probability is important to statistics and data science. See the relationship between conditional and independent events in a statistical experiment. Calculate the expectation and variance ...

Discrete random variable A random variable that can take only a certain specified set of individual possible values-for example, the positive integers 1, 2, 3, . . .

APPM 3570 Applied Probability Studies axioms, counting formulas, conditional probability, independence, random variables, continuous and discrete distribution, expectation, moment generating functions ...

John Aitchison, On the Distribution of a Positive Random Variable Having a Discrete Probability Mass at the Origin, Journal of the American Statistical Association, Vol. 50, No. 271 (Sep., 1955), pp.