Studies axioms, counting formulas, conditional probability, independence, random variables, continuous and discrete distribution, expectation, moment generating functions, law of large numbers, ...

Provides a one-semester course in probability and statistics with applications in the engineering sciences. Probability of events, discrete and continuous random variables cumulative distribution, ...

Studies axioms, counting formulas, conditional probability, independence, random variables, continuous and discrete distribution, expectation, joint distributions, moment generating functions, law of ...

The sample space diagram shows there are 6 ways of making a 7, out of a total of 36 possible outcomes. Therefore, the probability of rolling two dice and the sum being 7 is \(\frac{6}{36} = \frac{1}{6 ...

Addresses the topics of probability, random variables, discrete and continuous densities, expectation and variance, special distributions (binomial, Poisson, normal, etc.), moment generating functions ...

Life is uncertain. None of us know what is going to happen. We know little of what has happened in the past, or is happening now outside our immediate experience. Uncertainty has been called the ...

Mathematics professor Gregory Lawler was named a co-winner of the $100,000 Wolf Prize. The award recognizes Lawler’s research in probability theory involving random walks and Brownian motion, which ...