Probability Quiz 4 - Week 8

A special case where the mean is equal to zero and the variance is equal to one is called _____.

standard normal distribution

Which theorem can the posterior probability be found using the prior probability and conditional probability?

Bayes'

A discrete random variable is denoted as distinct countable values x1, x2, x3,...

True

Bayes' theorem is a procedure for updating probabilities based on new information.

True

The sample space contains all probable outcomes of an experiment.

True

The union of two events A and B, denoted as A ∪ B, will contain outcomes of both A and B.

True

Which rule is being followed when summing P(A) and P(B) then subtracting P(A ∩ B) from the sum?

addition

Events are considered _____ if they include all outcomes in the sample space.

exhaustive

Mutually exclusive events __________.

have joint probability of zero

Two events are _____ if the occurrence of one event does not affect the probability occurrence of another.

independent