| Assigned Tuesday 8/24 | Read for Thursday 8/26 Sections 1.1-1.3 and 1.5-1.6 (not "Law of Total Probability" (pg.17) to end of section 1.5 (pg. 21)) |
#1 - Due for Tuesday 8/31 Chapter 1: #56 (define the sample space and relevant events, and give the probabilities of the sample points), #65, #66 |
| Assigned Thursday 8/26 | Read for Tuesday 8/31 Sections 1.5 and 1.4 |
#2 - Due for Thursday 9/2 Chapter 1: #38, #42, #57 |
| Assigned Tuesday 8/31 | Read for Thursday 9/2 Examples A-G and Proposition B on pages 10-12. |
#3 - Due for Tuesday 9/7 Chapter 1: #17 (you may treat it as a binomial or hypergeometric; give the formula for p=0.2; use R to make the graph, plotting the values p=0,0.05,0.1,0.15,0.2, and 0.25) |
| Assigned Thursday 9/2 | Read for Tuesday 9/7 Examples H-I on pages 12-13 | #4 - Due for Thursday 9/9 Chapter 1: #18a, #35a, #36 |
| Assigned Tuesday 9/7 | Read for Thursday 9/9 Pg. 33-37, 111 | #5 - Due for Tuesday 9/14 Chapter 2: #1 (also calculate the mean and variance), #11 |
| Assigned Thursday 9/9 | Read for Tuesday 9/14 Theorem B on page 124. | #6 - Due for Thursday 9/16 Chapter 4: #45 Show all your work. (Hint for b: first find Var(Z) in terms of the two given standard deviations and alpha, then do the appropriate calculus) |
| Assigned Tuesday 9/14 | Read for Thursday 9/16 Pg. 38-40 and Example B on page 112. | #7 - Due for Tuesday 9/21 Chapter 2: #31a Also: Wisconsin has approximately 4,000,000 registered voters, of which 4 percent are undecided for the upcoming election. a) Briefly, why is it not unreasonable to model a survey of 100 of these voters as a binomial rather than a hypergeometric? b) In a random sample of 100 registered voters, what is the probability of having no undecided respondents? c) How many do you expect to have to survey before you have the first undecided respondent? d) What is the probability that the tenth person you talk to is your second undecided? |
| Assigned Thursday 9/16 | Read for Tuesday 9/21 Pg. 41-48 and Example C on page 112. | #8 - Due for Thursday 9/23 Chapter 2: #31b, #40 |
| Assigned Tuesday 9/21 | Read for Thursday 9/23 Pg.48-50 | Due for Tuesday 9/28 Exam 1 Due at Noon |
| Assigned Thursday 9/23 | Read for Tuesday 9/28 Pg. 50-56 | Due for Thursday 9/30 No assignment (do Ch.2 #45 for practice) |
| Assigned Tuesday 9/28 | Read for Thursday 9/30 Pg. 57-58 | #9 - Due for Tuesday 10/5 Chapter 2: #67. Also use R to plot the pdf for a few values of alpha and beta to demonstrate how they affect the behavior of the Weibull distribution. [There is a typo in the book. It was missing a negatives sign and should be 1-e(-(x/a)^b) ] |
| Assigned Thursday 9/30 | Read for Tuesday 10/5 Pg. 59-61, 69-73 | Due for Thursday 10/7 Moved to Tuesday 10/12 |
| Assigned Tuesday 10/5 | Read for Thursday 10/7 Pg. 73-75 | #10 - Due for Tuesday 10/12 Chapter 3: #1, #8b,c |
| Assigned Thursday 10/7 | Read for Tuesday 10/12 Pg. 77, 83-87 | Due for Thursday 10/14 No Class! |
| Assigned Tuesday 10/12 | Read for Tuesday 10/19 Pg. 79-89 | #11 - Due for Tuesday 10/19 Consider the joint pdf f(x,y)=1+a(1-2x)(1-2y) defined for 0 < x < 1, 0 < y < 1, and -1 < a < 1. Find what conditions must be met for X and Y to be independent. |
| Assigned Tuesday 10/19 | Read for Thursday 10/21 Pg. 96-100 | #12 - Due for Tuesday 10/26 Chapter 3: #38 - The distribution you get is probably one you've never seen, so don't worry about identifying it by name. Queston 2: On this .pdf file |
| Assigned Thursday 10/21 | Read for Tuesday 10/26 Pg. 92-95, 100-102 | #13 - Due for Thursday 10/28 Chapter 3: #66 Question 2: Whether a value is an outlier is one of the big concerns in applied statistics. Assume a sample of size 30 is supposed to have come from a standard normal distribution. What is the 99th-%ile for the 30th order statistic? (That is, how big does the largest value have to be so that we can be "99% sure" it is an outlier.) |
| Assigned Tuesday 10/26 | Read for Thurday 10/28 Pg. 102-104 | Due for Tuesday 11/2 No class for Election Day (finish Ch.3 #67 for practice) |
| Assigned Thursday 10/28 | Read for Thurday 11/4 Pg. 119-126, 129-133, 142-143 | Due for Tuesday 11/4 Exam 2 Due at Noon |
| Assigned Thursday 11/4 | Read for Tuesday 11/9 No Assignment | Due for Thursday 11/11 No Assignment |
| Assigned Tuesday 11/9 | Read for Thursday 11/11 Pg. 144-148 | #14 - Due for Tuesday 11/16 Chapter 4: #75-76 |
| Assigned Thursday 11/11 | Read for Tuesday 11/16 Pg. 135-139 | #15 - Due Thursday 11/18 Chapter 1: #73 Chapter 3: #55 Chapter 4: #62 |
| Assigned Tuesday 11/16 | Read for Thursday 11/18 Example C pg. 125, 163-166 | #16 - Due Tuesday 11/23 Chapter 4: #67 Question 2: Use R and Monte Carlo Integration (but not the built in normal pdf or cdf) with n=1000 to estimate P(0<Z<1) (as discussed in example A on page 165). Report the code you used and the results of 10 of your simulations. Compare your finding to the actual value. |
| Assigned Thursday 11/18 | Read for Tuesday 11/23 Pg. 149-154, 166-170 | Due Thursday 11/25 Have a Great Thanksgiving! |
| Assigned Tuesday 11/23 | Read for Thursday 11/25 Have a Great Thanksgiving! | Due Tuesday 11/30 Have a Great Thanksgiving! |
| Final Assignment | Read Chapter 6 | Optional: Accepted until Friday 12/10 at 9:00am Chapter 5: #3 Chapter 6: #2 Question 2: A random sample of size 20 from a normal distribution has standard deviation 10. Find the probability that the population standard deviation is greater than 12. (Hint: pnorm, pchisq, pt, or pf). |