Median scores on the HW are (out of 10): 8.5, 8.0, 8.5, 5 (Iprom project), 8.0, 7.5, 9.0, 8.5, 7.0, 8.0, 9.0, 4.0 (out of 5)
Median score on Test 1: 83/100 (top score 112/100)
Median score on Test 2: 66/100 (top score 107/100)
Here you can download the summary sheets on discrete densities and continuous densities.
Homework guidelines. Show all your working. Do not just give numerical answers. Write your solutions using proper English sentences wherever possible. Words like "if, then, because" are particularly helpful to the grader evaluating your solution.
| Section of the book | Exercise pages | Exercises |
|---|---|---|
| 1.3 | 16-18 | 7, 8c, 12, due Sep 5 |
| 1.4 | 16-18 | 19, 21, due Sep 5 |
| 1.5 | 16-18 | 29, due Sep 5 |
| Ch. 1 theory | 19-22 | 3, 5, 8, 9, 20, due Sep 5 |
| 2.2 | 55-60 | 2, 7 due Sep 13 |
| 2.3, 2.4 | 55-60 | 12, due Sep 13 |
| 2.5 | 55-60 | 18, 20, 21, 25, 28, due Sep 13 |
| 2.5 | 55-60 | 37, 53 (see Example 5n), 54, due Sep 13 |
| Ch. 2 theory | 61-63 | 8, 11, 20, due Sep 20 |
| 3.2 | 111-124 | 1, 9, 14a (see multiplication rule, p. 71), 18a due Sep 20 |
| 3.3 | 111-124 | 47 (see conditioning formula (3.4)), 50, 51, due Sep 20 |
| 3.4 | Iprom | Project 1, due Sep 22 |
| 3.4 | 111-124 | 56 (e.g. coupon=butterfly), 57 (Bernoulli trials!), 62, 81 (rephrase it as Gambler's Ruin), 83, due Oct 4 |
| Ch. 3 theory | 124-128 | 22, due Oct 4 |
| 4.1 | 187-197 | 4, due Oct 4 |
| 4.2 | 187-197 | 14, due Oct 4 |
| 4.3-4.5 | 187-197 | 20, 23 ("strategy" means buy/sell either now or at end of week or some combination of both), 27, 32 (the group of 100 is irrelevant, just consider the group of 10), 33 (write M for the number of papers the newsboy purchases, and write down a formula for his expected profit, then use a computer to evaluate for the possible values of M), 38, due Oct 11 |
| 4.6 | 187-197 | 46 (after you get a formula, evaluate by computer), 48, due Oct 11 |
| 4.7 | 187-197 | 55, 56 (use Poisson approximation to Binomial), 57, 60, 70 (note: if you did not know the first flip came up heads, then the answer would just be p), due Oct 18 |
| 4.8 | 187-197 | 73 (World Series!), due Oct 18 |
| 4.9 | 187-197 | 17 (first sketch the graph of F(b)), due Oct 18 |
| Ch. 4 theory | 197-201 | 5, 9, 13, 18 (and discuss the relation to #13), due Oct 18 |
| 5.1 | 247-251 | 1 (first graph f(x)), 4, 5, due Oct 26 |
| 5.2--5.3 | 247-251 | 6a, 12, due Oct 26 |
| 5.4 | 247-251 | 16, 18, 22, 28 (Normal Approximation), 24, due Oct 26 |
| 5.5 | 247-251 | 32, 33, 34 (and how close are the answers to (a) and (b)?), due Oct 26 |
| 5.6--5.7 | 247-251 | 39, 41, due Nov 10 |
| 6.1 | 313-319 | 2a, 7, due Nov 10 |
| 6.2 | 313-319 | 13, 14, 21, due Nov 10 |
| 6.3 | 313-319 | 27, 32, 34, due Nov 10 |
| 6.4-6.6 | 313-319 | 41, 42 (but in (a), don't find the conditional density of X given Y), 45, 49(b), 51, due Nov 17 |
| Ch. 6 theory | 319-322 | 18(b) (and identify your answer in terms of a standard distribution), 24 (assume L=1, and do the cases n=2, n=3; for extra credit, do the case of arbitrary n), due Nov 17 |
| 7.2 | 408-418 | 5, 7(a), 8, Extra credit: 11, due Nov 17 |
| 7.2 | 408-418 | 19, 21 (in part (b), you're counting the number of days of the year that are someone's birthday), 25 (remarkable because the answer does not depend on the type of the random variable), due Dec 1 |
| 7.4 | 408-418 | 30 (explain where you use independence), 38 (the Gamma function helps simplify your calculations), 39 (use linearity of covariance, from Prop. 3.2(iv)), 41 (do it two ways: (a) hypergeometric, and (b) writing X=X1+...+X30), 42 (first part only), due Dec 1 |
| 7.5 | 408-418 | 57 (see Example 5d in Section 7.5), 56 (condition on number of passengers), 55 (condition on number of ducks), due Dec 6 |
| 7.7 | 408-418 | 75bc, not due (exam preparation) |
| 8.2 | 457-459 | 1, 2ab, not due (exam preparation) |
| 8.3 | 457-459 | 5, not due (exam preparation) |
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