- #1
musicgold
- 304
- 19
Hi,
I am struggling with a problem and do not know how I should approach it.
I went to a baseball game with my son, where I bought him a packet of M&Ms. While eating the candy, my son asked me what color most of the M&Ms are. At first, I intended to tell him that there are equal numbers of M&Ms of every color, but then I decided to do an experiment. I asked him to randomly take out 10 M&Ms from the packet, without replacing them back. We had the following sample.
Br Br Br Br Y Y R O O G
Where, Br= Brown, Y=Yellow, R=Red, O=Orange, G= Green, B= Blue.
Altogether, there were six colors and about 150 M&Ms in that 150-gm packet.
Seeing this, I was not sure what answer to put forward. I asked him to draw one more sample. The second sample was as given below.
O O O O O O O Y R B
Now I was totally confused. I realized that I need to brush up on my Probability and Stats knowledge. Here are the questions I am struggling with.
1. How can I find the most common color using the sampling approach?
2. What was wrong with my approach to the problem?
3. What would I need to do if I wanted to find the two most common colors in a packet?
4. How can I calculate the standard deviation of a sample in this kind of experiment?
Thanks,
MG.
I am struggling with a problem and do not know how I should approach it.
I went to a baseball game with my son, where I bought him a packet of M&Ms. While eating the candy, my son asked me what color most of the M&Ms are. At first, I intended to tell him that there are equal numbers of M&Ms of every color, but then I decided to do an experiment. I asked him to randomly take out 10 M&Ms from the packet, without replacing them back. We had the following sample.
Br Br Br Br Y Y R O O G
Where, Br= Brown, Y=Yellow, R=Red, O=Orange, G= Green, B= Blue.
Altogether, there were six colors and about 150 M&Ms in that 150-gm packet.
Seeing this, I was not sure what answer to put forward. I asked him to draw one more sample. The second sample was as given below.
O O O O O O O Y R B
Now I was totally confused. I realized that I need to brush up on my Probability and Stats knowledge. Here are the questions I am struggling with.
1. How can I find the most common color using the sampling approach?
2. What was wrong with my approach to the problem?
3. What would I need to do if I wanted to find the two most common colors in a packet?
4. How can I calculate the standard deviation of a sample in this kind of experiment?
Thanks,
MG.