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)
Get Answers For Free
Most questions answered within 1 hours.