4.128 Conditional probabilities and independence.

Using the information in Exercise 4.121, answer these questions.

(a) Given that a vehicle is imported, what is the conditional probability that it is a light truck?

(b) Are the events “vehicle is a light truck” and “vehicle is imported” independent? Justify your answer.
Genetic counseling. Conditional probabilities and Bayes’s rule are a basis for counseling people who may have genetic defects that can be passed to their children. Exercises 4.129 to 4.131 concern genetic counseling settings.