M&Ms Activity: Calculating Probabilities and Percentages - Prof. Patrick S. Murphy, Assignments of Data Analysis & Statistical Methods

A series of tasks related to calculating probabilities and percentages using m&ms as an example. The tasks include calculating p^ hat numbers, writing them down, and placing them on a whiteboard. The document also includes several questions related to finding the area under the normal curve, the percentage of packets with a certain proportion of orange m&ms, and the probability of having more than half orange m&ms in a sample packet.

Typology: Assignments

Pre 2010

Uploaded on 08/04/2009

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M&Ms Activity Tasks
1. Calculate
p
ˆ
numbers.
2. Write
p
ˆ
numbers in notebook.
3. Write each
p
ˆ
number on a separate Post-It Note.
4. Guess what
p
is.
5. Place Post-It Notes on the whiteboard.
Questions:
Assume
n
= 25 for calculations.
1. What is the area under the normal curve between 0.12 and 0.28?
2. What percent of sample packets have a proportion of orange M&Ms between 0.12
and 0.28?
3. What percent of packets have between 4% and 36% orange M&Ms?
4. What percent of packets have between 10% and 20% orange M&Ms?
5. What is the probability of opening a sample packet of M&Ms and have more than
50% of them be orange?
6. What sample proportion of orange M&Ms do I need to have to be in the top 1%
of all sample packets?

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M&Ms Activity Tasks

1. Calculate p ˆ numbers.

2. Write p ˆ numbers in notebook.

3. Write each p ˆ^ number on a separate Post-It Note.

4. Guess what p is.

5. Place Post-It Notes on the whiteboard.

Questions:

Assume n = 25 for calculations.

  1. What is the area under the normal curve between 0.12 and 0.28?
  2. What percent of sample packets have a proportion of orange M&Ms between 0.12and 0.28?
  3. What percent of packets have between 4% and 36% orange M&Ms?
  4. What percent of packets have between 10% and 20% orange M&Ms?
  5. What is the probability of opening a sample packet of M&Ms and have more than50% of them be orange?
  6. What sample proportion of orange M&Ms do I need to have to be in the top 1%of all sample packets?