Homework 1 (Due Wed, Jan 15 at 11 am)
- Section 2.2: 2, 3, 11, 13, 14, 15, 20, 22, 29, 31, 32, 33, 34
- Section 2.3: 2, 5, 10, 11, 15, 16
Reading: Read all of Chapter 1 (it is only 15 pages long). In Chapter 2, read Sections 2.1, 2.2, and 2.3. |
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Homework 2 (Due Wed, Jan 22 at 3 pm)
- Section 2.4: 1, 4, 7, 12, 13, 22, 24, 35, 38, 41, 42, 46
- Section 2.5: 2, 4, 7, 14, 19, 20, 25, 26
Reading: Read Sections 2.4 and 2.5 |
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Homework 3 (Due Fri, Jan 31 at 3 pm)
- Section 3.2: 4, 7, 9, 10
- Section 3.3: 1, 2, 5, 7, 8, 11, 14
- Section 3.4: 1, 2, 3, 5, 8, 9, 11, 14, 18
Reading: Read Sections 3.1–3.4. We will not consider hypergeometric random variables in class (or in the homework or exams), but you should read about them anyway, for your own personal enjoyment. |
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Homework 4 (Due Wed, Feb 12 at 3 pm)
- Section 3.5: 2, 8, 10, 11, 12, 13, 14, 30, 31, 32
- Section 3.6: 2, 4, 5, 6, 8, 11, 12, 16
Reading: Read Sections 3.5 and 3.6. Homework Notes: For 3.5.2, you need to know a little about how Roulette is played. There is a description here. In 3.5.30, when it asks you to compute the expected value in "two different ways," you should compute E[W] using the PDF for W and E[Y^2] using the PDF for Y. (You should get the same answer for each.) |
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Homework 5 (Due Web, Feb 19 at 3 pm)
- Section 3.7: 2, 3, 4, 13, 19(g), 20, 21, 22, 27, 36, 44, 45
- Section 3.8: 2, 5, 6, 9
Reading: Read Sections 3.7 and 3.8. We will not derived the formulas of 3.8 in class, but you will still be expected to use them for two of the homework problems. (Use the formulas for 3.8.2 and 3.8.9.) You cannot use the formulas for 3.8.5 or 3.8.6, because Y and Y are not independent random variable. (Because they are the same random variable.) |
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Homework 6 (Due Wed, Feb 26 at 3 pm)
- Section 3.9: 3, 8, 15, 16, 18, 20
- Section 4.3: 1, 2, 5, 11, 12, 15, 16, 17, 23, 24, 26, 33
Reading: Read Sections 3.9 and 4.3. (Note: Independence of random variables is a topic from 3.7, but I prefer to discuss it 3.9.) Make sure you understand how to use the table of probabilities for the Standard Normal random variable that is in the back of your book. |
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Homework 7 (Due Web, Mar 5 FRI, Mar 7 at 3 pm)
- Section 5.2: 1, 3, 4, 5, 6, 7, 11, 12, 13, 16, 17, 21
Reading: Read Section 5.2. You might also want to read Section 3.10. That section defines Order Statistics, which we will see here. We will consider only Ymax and Ymin. |
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Homework 8 (Due Wed, Mar 12 FRI, Mar 14 at 3 pm)
- Section 5.3: 1, 3, 4, 7, 19, 20
- Section 5.4: 1, 2, 3, 4, 9, 10
Reading: Read Sections 5.3 and 5.4. Note: For 5.3.20, use a 95% confidence interval. |
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Homework 9 (No due date. Not to be turned in.)
- Section 6.2: 1, 3, 5
- Section 6.3: 1, 3
- Section 6.4: 3, 5, 13
Reading: Read Sections 6.2–6.4. For 6.4.13, you will need to know the PDF for Ymax. You can find the formula for that in our class notes from when we discussed Section 5.2 (specifically MLE), or you can find it in Section 3.10 of the textbook. |
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