Question

Two manufacturing plants located in a valley operate the same chemical process on weekdays scattered throughout the year. Whenever the process operates,

emissions of toxic air pollutants are scattered into the air. Out of 260 weekdays in a recent year, Plant A operated on150 weekdays, Plant B operated on 120 weekdays and both plants operated on 60 weekdays. Answer

(a) Draw a Venn Diagram.

(b) What is the probability that Plant A is operating, or Plant B is operating?

(c) What is the probability that neither Plant A nor Pant B is operating?

(d) What is the probability that if Plant A is operating, then Plant B is operating?

(e) What is the probability that if Plant B is operating, then Plant A is operating?

(f) What is the probability that Plat A or Plant B is operating but not both?

(g) Are the operations of Plant A and Plant B independent? To

get credit for this part, you must use distributions to justify your answer.

Answer 1