A restaurant needs a staff of 3 waiters and 2 chefs to be properly staffed. 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 0.01 0.03 0.03 1 0.03 0.03 0.05 0.06 2 0.031. 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. a. TRUE b. FALSE

What is the measure of ac? 5 units 13 units 26 units 39 units 3x- 2b 6x + 9

Three people are traveling and need to exchange the currency of their native country for the currency of the country they are visiting. drag each exchange to the category that shows the ratio of currencies in that exchange.

Amachine that produces a special type of transistor (a component of computers) has a 2% defective rate. the production is considered a random process where each transistor is independent of the others. (a) what is the probability that the 10th transistor produced is the first with a defect? (b) what is the probability that the machine produces no defective transistors in a batch of 100? (c) on average, how many transistors would you expect to be produced before the first with a defect? what is the standard deviation? (d) another machine that also produces transistors has a 5% defective rate where each transistor is produced independent of the others. on average how many transistors would you expect to be produced with this machine before the first with a defect? what is the standard deviation? (e) based on your answers to parts (c) and (d), how does increasing the probability of an event a↵ect the mean and standard deviation of the wait time until success?