Writer Choice

42290Week 3 Post (300+ words):
Think of some discrete random variable you observe on a regular basis. For example, it could be the (rounded) number of hours you sleep, how many gallons of gas are in your car when you get into it, how many boxes of cereal are in your house, how many days between grocery shopping, etc. (just make sure it takes only integer values). Try to list all of the possible values that this discrete random variable can take. If you can, collect some frequency data – give the relative frequency table and use this as an estimate of the probability distribution. Calculate the expected value and the standard deviation for this probability distribution. Interpret these parameters, and discuss whether they make sense based on your experience.
For example, the number of students emailing Professor Schmidt varies from day to day. After collecting a month of data she creates the following frequency table:

Number of Emails
Frequency
Relative Frequency
(Empirical Probability)
0
3
0.100
1
5
0.167
2
9
0.300
3
7
0.233
4
3
0.100
5
2
0.067
6
1
0.033
The expected number of emails per day is 2.399 and the standard deviation is 1.474 emails.

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