MTH105 Project #2 M&M Version A-1 (1) (1)
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Eastern Gateway Community College *
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Course
105
Subject
Mathematics
Date
Jan 9, 2024
Type
docx
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5
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M&M Distribution(A)
MTH105 Project NAME ____ _________________________________________________________
Must show calculations/formula for credit. Any answer given with no calculations shown will result in no credit for that answer. 1.
Suppose you open a bag of M&Ms and count the number of M&Ms you have of each color. Suppose there were the following:
Qty 10 blue
Qty 8 orange
Qty 4 yellow
Qty 3 green
Qty 5 brown
Qty 3 red
2.
Calculate the proportion of each color (round to 3 decimals) please show calculation and answer in proportion cell of table example 21/57 = .368
Color
Proportion
Blue
10/33=0.303
Orange
8/33=0.242
Yellow
4/33=0.121
Green
3/33=0.091
Brown
5/33=0.152
Red
3/33=0.091
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3.
Suppose the entire class put all the M&Ms together on the table and following occurred:
Qty 42 blue
Qty 45 orange
Qty 33 yellow
Qty 25 green
Qty 10 brown
Qty 22 red
4.
For the entire class, calculate the proportion of each color (round to 3 decimals) please show calculation and answer in proportion cell of table example 21/57 = .368
Color
Proportion
Blue
42/177=.237
Orange
45/177=.254
Yellow
33/177=.186
Green
25/177=.141
Brown
10/177=.056
Red
22/177=.124
5.
What conclusions can you draw from the data gathered from one small bag compared to several
small bags of M&Ms?
The conclusion I drew up from the data gathered from on small bag compared to several bags of M&Ms is they are not the same or equal.
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6.
A 5-pound bulk bag of M&Ms holds approximately 2900 pieces. How many of each color should we expect to find in the bag based on the results of the proportions from the entire class
? (approximate number of each color to be rounded to the nearest whole M&M) please show calculation and answer in Approximate number of M&Ms cell of table example 2900*0.368 = 1067
Color
Approximate number of M&Ms
Blue
688
Orange
737
Yellow
541
Green
410
Brown
164
Red
360
7.
A bag of M&Ms is dumped on the table and you count 82 blue pieces. Approximately how many
M&Ms do you expect to be in the entire bag based on the proportions of the entire class?
Round to nearest whole M&M
Show calculation and answer
BLUE;2900 x (42/177) = 688.136 or 688 pieces GREEN: 2900 x (25/177)= 409.6.5 or 410 pieces
ORANGE: 2900 x (45/177) = 737.288 or 737 pieces BROWN: 2900 x (10/177) =163.842 or 164 pieces
YELLOW: 2900 x (33/177) = 540.678 or541 pieces RED: 2900x (22/177) =360.452 or 360 pieces
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8.
According to Mars, the makers of M&Ms, their factory produces 25% blue, 25% orange, and 12.5% for each of the remaining colors. How do the observed values based on the entire class compare to these?
COLOR Blue 42
177x 0.25=44.25
Orange
45
177x 0.25=44.25
Yellow
33
177x 0.125=22.13
Green
25
177x 0.125=22.13
Brown
10
177x 0.125=22.13
Red
22
177x 0.125=22.13
Conclusion: The percentage of the Blue and Brown M&Ms have smaller percentages than Mar’s expected calculations. The percentages of the Red M&Ms are the same. The percentages of the Orange, Yellow, and Green M&Ms have larger percentages than Mar’s expected calculations.
9.
What are some of the reasons why our bags would differ from the expected distribution? I feel that the reason why bags would differ from the expected distribution is it may be prepared in warehouse where a machine is utilized, so it may not have the capability of keeping track of the different colors that is put in each bag or another possibility is the cost. A certain color may cost more than the next to produce.
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10.
Why would Mars not put equal amounts of each color in every bag? I think it would be too time consuming and cause a delay in producing the bags.
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