In a campus restaurant it was found that 35% of

In a campus restaurant it was found that 35% of all customers order vegetarian meals and that 50% of all customers are students. Further, 25% of all customers who are students order vegetarian meals.,a. What is the probability that a randomly chosen customer both is a student and orders a vegetarian meal?,b. If a randomly chosen customer orders a vegetarian meal, what is the probability that the customer is a student?,c. What is the probability that a randomly chosen customer both does not order a vegetarian meal and is not a student?,d. Are the events "customer orders a vegetarian meal" and "customer is a student" independent?,e. Are the events "customer orders a vegetarian meal" and "customer is a student" mutually exclusive?,f. Are the events "customer orders a vegetarian meal" and "customer is a student" collectively exhaustive?