1.The Red Sox (R) play the Evil Empire (E) in a 5-game series. The series ends when one team wins 3 games.For example, R-R-R means the Red sox win.E-R-E-R-E means the Evil Empire wins.Experts predict that the Sox have a 75% chance of winning each game. What are the chances that the Sox win the series?

a.Start setting up your simulation by choosing what random integers to use. Make sure to label them so I know what you intend each integer/set of integers to represent.

b. Next, indicate what numbers you will be entering into the Excel formula:

RandBetween(,) orRandInt(,,)

c. Carry out the simulation in Excel or in the TI Calculatorand write your 10 trials in the table below:

Trials

Integers

Who wins?

1

2

3

4

5

6

7

8

9

10

d.Answer the question:

e. What is the length?

Fixed or Variable?_________________________

The length is __________________________

2.The Crisp Cereal Company is running out of Shrek toys to put into their cereal boxes, so they are putting Donkey toys in 85% of the boxes and Shrek toys in the remaining 15%.Assuming that the boxes are well shuffled, about how many boxes should you expect to have to buy in order to get both prizes?

a.Start setting up your simulation by choosing what random integers to use. Make sure to label them so I know what you intend each integer/set of integers to represent.

b. Next, indicate what numbers you will be entering into the Excel formula:

RandBetween(,)orRandInt(,,)

c. Carry out the simulation in Excel or in the TI Calculator and write your 10 trials in the table below:

Trials

Integers

# of boxes

1

2

3

4

5

6

7

8

9

10

d.Answer the question:

e. What is the length?

Fixed or Variable?________________________

The length is __________________________

3.Northwestern's math department is trying to put on a concert and is asking the following six artists to perform at the concert:Brittany Aguilera, Drake Brown, Nicki GaGa, Imagine Park, Miley Perry, and KanyeBieber.All six are very busy, so they are each 60% likely to say yes.The concert can only happen if there are at least four artists participating.What are the chances the concert will take place?

a.Start setting up your simulation by choosing what random integers to use. Make sure to label them so I know what you intend each integer/set of integers to represent.

b. Next, indicate what numbers you will be entering into the Excel formula or Calculator:

RandBetween(,)ORRandInt(,,)

c. Carry out the simulation in Excel or in the TI Calculator and write your 10 trials in the table below:

Trials

Integers

Concert

Y or N?

1

2

3

4

5

6

7

8

9

10

d.Answer the question:

e. What is the length?

Fixed or Variable?_________________________

The length is ________________________