First, we need to estimate the pre-test probability that asymptomatic Massachusetts residents have Covid-19. We know that in the state approximately 2% of all tests for SARS-CoV-2, the virus that ...

When Bob flips a coin and announces the result, what can we really know about which coin he chose? This video builds probability trees to reveal how new evidence systematically updates our beliefs, ...

A man went on an airplane ride. Unfortunately, he fell out. Fortunately, he had a parachute on. Unfortunately, the parachute did not open. Fortunately, there was a haystack below him, directly in the ...

In school, we are trained to think that math problems always have one correct answer. But this is not necessarily true for problems dealing with probability, if the method used to reach the described ...

Asymptotically optimal empirical Bayes squared error loss estimation procedures are developed for three families of continuous distributions, uniform $(0, \theta ...