Two events A and B are said to be independent if the occurence of one does not affect the occurence of the other. In other words, the probability that A occurs remains the same whether B has occurred ...

The sample space S of an experiment is the set of all possible outcomes. There should be at least as many outcomes in S as times the experiment process is repeated. In some cases, one repitition of ...

Probability and Statistics 2 Random Variables: Discrete, Continuous Classifies data types (counts vs. measurements) for predictive algorithms. Expected Value and Variance for Discrete Probability ...

Each year, pneumonia is the most common cause of adult hospitalization behind childbirth. Vaccines can protect against up to 20 types of pneumococcal types of pneumonia. People from non-White ethnic ...

We welcome applications from candidates with a wide array of undergraduate majors—including mathematics, engineering, sciences, economics, psychology, and administration. While foundational courses in ...

How does a coherent structure emerge from many small random occurrences? For instance, at what point are there enough openings in a sponge for a liquid to flow through? Such questions are critical to ...