Question

Grab your bag of M & Ms and sort them out by color. Record the number...

Grab your bag of M & Ms and sort them out by color. Record the number of each color in row A of the table below. Also record the total number of M&Ms in your bag, n.

Calculate the expected value of each color in a bag of size n. Record your results in Row B.

Calculate the standard deviation for each color in a bag of size n. Record your results in Row C.

Using the Range-Rule-Of-Thumb, calculate the maximum usual value and the minimum usual value for a

bag of size n. Record your results in Row D.

Are the color counts from your bag of M & Ms considered usual or unusual based on the Range-Rule-Of-

Thumb? Record your results in row E.

Answer each of the questions below on a separate sheet of paper.

*The population color distribution below is claimed by the M & Ms corporation.

The distribution that M & Ms claims can be thought of as a binomial distribution for each color choice. Thus, “success”=claimed color and “failure”=not claimed color (any other color). Assume the distribution claimed by M&Ms is true:

n=

Actual Count

Red 1

Blue 9

Green 14

Yellow 10

Brown 10

Orange 11

*Claimed Distribution p

13% Red

24% Blue

16% Green

14% Yellow

13% Brown

20% Orange

A

Actual Count

B

Expected Value

C

Standard Deviation

D

Max

Min

E

Usual or unusual?

Binomial Distribution Questions using the Claimed M&Ms Distribution

(use the claimed p values from row *, n is the number of M&Ms in your bag and x is the value from row A)

1. What is the probability of selecting the same number of BLUE M&Ms as you counted in your bag?
2. What is the probability of selecting the same number of RED M&Ms as you counted in your bag?
3. What is the probability of selecting the same number of ORANGE M&Ms as you counted in your bag?

Probability Questions using Your Sample Data

(n is the number of M&Ms in your bag and x is the value from row A)

Using your sample of n M&Ms as a probability experiment, what is the probability of

selecting a green M&M from your bag?

You reach into your bag, pull out a green M&M and eat it; what is the probability that you

will choose a green M&M again?

What is the probability of selecting two blue M&Ms from your bag? (without replacement)