4. The Blue Bottle Diner employs three dishwashers. Al washes 40% of the dishes and breaks only 1% of those he handles. Debra and Carl each wash 30% of the dishes, and Debra only breaks 1% of hers, but Carl breaks 3% of the dishes he washes. (Carl, of course, will need a new job soon....) (a) Draw a tree diagram to model this chance process. (3 pts) (b) You go to The Blue Bird for lunch one day. Given that you hear a dish break at the sink, what's the probability that Carl broke the dish? (2 pts) 5. At the end of each week, an employer gives some vacation hours to a few randomly selected employees. There are 25 employees in her department-1 1 males and 14 females. The employer wants to give vacation hours to 6 of the employees. (a) How many possible groups of 6 employees can she choose? (1 pt) (b) Find the probability that the employer gives vacation hours to 3 males and 3 females if she chooses 6 students from the class at random. (2 pts)