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 ...

Nonparametric maximum likelihood estimation of the probability of failing from a particular cause by time t in the presence of other acting causes (i.e., the cause-specific failure probability) is ...

Standard techniques are applied to describe methods for using the conditional probabilities to form median and interval estimates of the population size. The methods are illustrated with examples.

How likely you think something is to happen depends on what you already believe about the circumstances. That is the simple ...