Stat 1000: Assignment 3 Tips (Classroom Lecture Sections)
Published: Thu, 10/18/12
My tips for Assignment 3 are coming below, but first a couple of announcements.
Please note that my second midterm exam prep seminar for
Stat 1000 will be on Sunday, Nov. 4, in room 100 St. Paul's College,
from 9 am to 9 pm . For complete info about the seminar, and to register if you have not done so already, click this link:
I am also offering seminars in Calculus, Linear Algebra, and Stat
2000 in the coming weeks. You can get info about those seminars here:
Make sure you have read my Tips on How to Do Well in this Course
Did you miss my Tips on what kind of calculator you should get? Click here
If you are taking the course by Distance/Online (Sections D01, D02, etc.), click here for my tips for your Assignment 7.
Tips for Assignment 2 (Classroom Lecture Sections A01, A02, A03, etc.)
You will have to study both Lesson 4: Density Curves and the Normal Distribution and Lesson 5: Introduction to Probability in my Basic Stats 1 book to prepare for this assignment. Questions 1, 2, 3 and 4 cover the concepts I teach in Lesson 4. The remaining questions are dealt with in Lesson 5 of my book. Note: if you are using an older edition of my book, you may find that Density Curves and the Normal Distribution is Lesson 2.
You will be using Table A for much of this lesson. Here is a link where you can download the table if you have not already done so:
This question is very similar to my question 2 in Lesson 4. In part (d) you will have to work backwards. You know the area, so you can establish what the width of the shaded region must be. Then, you can establish what b must be. In part (e), keep in mind that the quartiles slice the population into 25% sections. You need to slice the density curve up into 4 equal areas of 25% each.
Question 2
This question is very similar to my question 5 in Lesson 4.
Question 3.
This question is very similar to my question 6. Note that I also do a percentile example in my question 7. As I say in my question 7, the 80th percentile, for example, is the z score that has 80% of the area to the left of that score.
Question 4
Make sure you have studied all my X-Bell Curve problems (questions 9 to the end) in Lesson 4 before you attempt this question. You also need to know the 68-95-99.7 Rule taught earlier in my lesson. Part (h) is all about z scores. The higher your z score in a normal distribution, the better you did relative to others. See my question 14 in Lesson 4 for an example of this principle.
Question 5
This is a question best solved by Venn Diagrams. Make sure you have studied that section in Lesson 5 of my book and have done questions 14 to 18 before you attempt this question. Make sure you have definitely looked over my examples of how to prove to events are independent or not in those questions (as well as others earlier in the lesson).
Question 6
This question is a good runthrough of two-way tables and probability distributions. Be sure that you have gone through all of my questions 3 to 13 in Lesson 5 before attempting this question. Note that the first two parts just want you to list a Sample Space (all the outcomes that are possible) similar to what I do in my questions 3 and 4 part (a). You do not list the probabilities of those outcomes there. You may find my questions 4 and 12 especially helpful with part 3 of this problem.