Joel scores in 80% of his games. They are starting the playoffs and if they make it to the state championship, they will have played 5 games. Joel wants to determine the probability that he scores in 4 of the 5 games.

Joel sets up his simulation using a table of random digits between 0 and 9. Let 0−7 represent Joel scoring and 8−9 represents Joel not scoring. Select five digits.

He performs the simulation 15 times and his results are recorded in the table. What is the probability that Joel scores in 4 of the 5 games?

A)
4
15
B)
7
15
C)
8
15
D)
11
15

Acaterer knows he will need 60, 50, 80, 40 and 50 dinner napkins on five successive evenings. he can purchase new napkins initially at 25 cents each, after which he can have dirty napkins laundered by a fast one-day laundry service (i. e., dirty napkins given at the end of the day will be ready for use the following day) at 15 cents each, or by a slow two-day service at 8 cents each or both. the caterer wants to know how many napkins he should purchase initially and how many dirty napkins should be laundered by fast and slow service on each of the days in order to minimize his total costs. formulate the caterer’s problem as a linear program as follows (you must state any assumptions you make): a. define all variables clearly. how many are there? b. write out the constraints that must be satisfied, briefly explaining each. (do not simplify.) write out the objective function to be minimized. (do not simplify.)