A restaurant needs a staff of 3 waiters and 2 chefs to be properlystaffed. The joint probability model for the number of waiters (X)and chefs (Y) that show up on any given day is given below. X
Y
0 1 2 3
0 k 0.03 0.03 0.03
1 0.01 0.02 0.04 0.04
2 0.01 0.01 0.05 0.72
1. What is the probability that more than three total staff(waiters and chefs) will show up on any given day?
2. What is the expected total number of staff (waiters and chefs)that will show up on any given day?
3. What is the probability that three waiters will show up on anygiven day?
4. What is the probability that two chefs will show up on anygiven day?
5. X and Y are independent. TRUE or FALSE
TRUE or FALSE