Finding π using random numbers and probability. This short demonstrates a Monte Carlo approach, showing how randomness and statistics can converge to an accurate estimate of pi through repeated trials ...

Understanding Joint Probability Density Functions | Examples and Key Concepts In this video, we examine joint probability density functions (PDFs), a key concept in probability and statistics that ...

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 ...

Research of the probability and statistics group includes particle systems, theoretical statistics, non-conventional random walks, random matrix theory, and random polynomials. Research interests also ...

Hence, in that context the probability that two random integers are coprime is 6/π2. We also show that two other interpretations of "random integer," namely residue classes and shift invariance, ...

Probability is a measure of the likelihood of events happening. The greater the proportion of times an event can happen the greater (or more likely) the probability. Events can be ordered by the ...

Adam Hayes, Ph.D., CFA, is a financial writer with 15+ years Wall Street experience as a derivatives trader. Besides his extensive derivative trading expertise, Adam is an expert in economics and ...