| 13
February |
- Begin work on textbook exercises 4.1, 4.6, 4.7,
4.8, 4.9, 4.10, 4.11, 4.12, 4.13, 4.14, 4.15, 4.16, 4.17, 4.18, and
4.20. We will be working some of these in class, so at least
identify the ones you can and cannot do. (60 min.)
- In exercise 4.18 use Excel's NORMSINV(RAND())
functions to generate random values from an N(0, 1)
distribution. Then rescale them (multiply by 2) and recenter
them (add 10) to generate random values from N(10, 2). Use the
spreadsheet you created in the first homework exercises to compute
the summary statistics. (30 min.)
- Analyze the Paradoxes in probability
problems (all except Bertrand's Paradox) in terms of a box
model. Determine the correct answers for each paradox.
(The archery puzzle is tricky. One possible solution is to
note that you only care about whether the last arrow is closest to
the target. So represent the five shots by five tickets; four
of the tickets will say "not closest" and one will say
"closest". Draw four tickets from the box without
replacing them. This simulates the problem setting.
In terms of this model, formulate and answer the question.)
(60 - 120 min.)
- Create an Excel simulation of the Lewis Carroll's
problem or the Bear Cubs Problem. Check that its results agree
with your analysis (problem 3). (30 min.)
- Review the gallery of probability density functions
available at the Statlet
app page. (15 min.)
- Read Chapter 5, pages 201 through 228. (30
min.)
Total estimated time: 3:45 - 4:45 hours
|
