Need Help with Question 5,7,8,9 & 10!

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=.303
Orange	8/33=.242
Yellow	4/33=.121
Green	3/33=.909
Brown	5/33=.151
Red	3/33=.090

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=.245
Yellow	33/177=.186
Green	25/177=.0141
Brown	10/177=0.056
Red	22/177=0.124

5. What conclusions can you draw from the data gathered from one small bag compared to several small bags of M&Ms?

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	2900*0.303=879
Orange	2900*0.702=2,036
Yellow	2900*0.351=1,018
Green	2900*0.261=757
Brown	2900*0.438=1,270
Red	2900*0.261=757

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

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?

9. What are some of the reasons why our bags would differ from the expected distribution?

10. Why would Mars not put equal amounts of each color in every bag?