2.10 Conditional Probability

Conditional probability is incredible. In fact, without exaggeration, almost all of data science is an exercise in making statements about conditional probability distributions. Don’t believe us?

• What is the goal of a “customer churn” model or a conversion model?
• What is the goal of a language-completion model?
• What is the goal of flight-departures model?

If we possessed the whole information about a process; if we had the CDF that governed probability of occurrences, what kinds of statements would we be able to make? Would we even need data?

Using the distribution above, produce a statement of conditional probability, \(f_{Y|X}(y|x)\).