Probability theory provides the mathematical language for quantifying uncertainty and analysing random phenomena. Its foundations rest on measure-theoretic notions of probability spaces and σ-algebras ...

The University of Colorado Center for Number Theory has interests spanning number theory, from analytic to algebraic. There is a focus on arithmetic geometry, including arithmetic dynamics, elliptic ...

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 ...