A corporation was concerned with the basic educational skills of its workers and decided to offer a selected group of them separate classes in reading and practical mathematics. Of these workers, 40% signed up for the reading classes and 50% for the practical mathematics classes. Of those signing up for the reading classes 30% signed up for the mathematics classes.
a. What is the probability that a randomly selected worker signed up for both classes?
b. What is the probability that a randomly selected worker who signed up for the mathematics classes also signed up for the reading classes?
c. What is the probability that a randomly chosen worker signed up for at least one of these two classes?
d. Are the events “signs up for the reading classes†and “signs up for the mathematics classes†statistically independent?