I thought you might need a little more help with the Sports Teams question, see below.

Do note that my second midterm seminar is the weekend  of Nov. 2 and 3.  Click here for more details:

Did you read my tips on how to study and learn Stat 1000?  If not, here is a link to those important suggestions:

Did you read my Calculator Tips?  If not, here is a link to those important suggestions:

Did you read my Tips for Assignment 1?  If not, here is a link to those important suggestions:

Did you read my Tips for Assignment 2?  If not, here is a link to those important suggestions:

Don't have my book?  You can download a free sample containing Lesson 1 at my website here:

It appears that StatsPortal is not fully functional if you are using Internet Explorer as your browser.  This has ramifications if you are using the HTML Editor box.  I strongly recommend that you use Mozilla Firefox as your internet browser whether you use a Mac or PC to ensure no problems with submitting your assignments.  Here is a link where you can download Firefox direct from Mozilla (it is free):

Do note that every time you exit a question in StatsPortal, the next time you return to it, the data may very well change.  Do not press the "back-up" button on your browser in a question.  That, too, will change the data.  When you are prepared to actually do a question, open the link, keep it open, and do not close it until you have submitted your answers.  There is also some debate whether even pressing "Save Answers" locks the data in place.

You should also have already downloaded the JMP statistical software which was provided with either one of the course options for StatsPortal as mentioned in your course outline.

Make sure you have gone through Assignment 0 completely to learn how to use the interface.  I also suggest you print out a copy of question 8 in Assignment 0 (Long Answer Questions - Part 3) so that you have the steps for saving and uploading files into the HTML editor in front of you.

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 because you know the width times the height equals the area.  Then, you can establish what b must be.

This is very similar to my question 6 in Lesson 4.  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.

Make sure you have studied all my X-Bell Curve problems (questions 9 to the end) in Lesson 4 before you attempt this question.  Make sure you use the X-Bell Curve Ladder to help you work your way through each part of this question.

You also need to know the 68-95-99.7 Rule taught earlier in my lesson (questions 3 and 4 in Lesson 4).

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.

Don't forget to click the Html Editor link before you type your answers into their box.

I show you how to determine a Sample Space through the use of two-way tables if necessary in Lesson 5 of my book.  Note that all you are asked for is the sample space in each part, so your answer would be something like this (don't forget to use those squiggly brackets "{}"):

Here is the sample space for the outcome of flipping a coin twice where H=heads and T=tails:  {HH, HT, TH, HH}.

This is a question best solved by Venn Diagrams.  Make sure you have studied that section in  Lesson 5 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 two events are independent or not in those questions (as well as others earlier in the lesson). 

This question is very similar to my question 18.  However, they do not give you enough information to fill in every part of your three-circle Venn diagram.  Similar to what I do in my question 17, you will need to put x in one of the missing parts of your three-circle diagram, then solve for x.

You are given the percentage that follow all three teams so you can put that value in the centre of your three-circle diagram.  You are given the percentage that are J and G fans, so you can fill the appropriate region in such that the two regions representing J and G add up to this given percentage.  You are also given the percentage that are J and B fans.  Again, there are two regions in the diagram representing that, and you already know the number in one of them, so you can fill in the missing part knowing the total must be this J and B amount.

Here is where things get tough.  You are not given B and G, so put x in that region that you are missing.

Now, we go to the first piece of info.  We are told the percentage that are J fans.  There are four regions in the J circle in your diagram, and you should have numbers already in three of them, so you can figure out what value to put in that fourth region to make the total correct.

We are also given the percentage that are B fans.  The problem is that we have four regions in the B circle but only have two numbers filled in.  First add those two numbers and subtract from the total B percentage.  For example, if you have 70% that are Bombers fans, and the two given regions add up to 30%, that leaves 70-30=40% to put in the remaining two regions.  One of those regions is already labelled x, so that means the remaining region can be labeled 40-x.  Of course, these are not your numbers.

We are also given the percentage that are J or G fans.  There are six regions in your diagram that represent J or G .  You already have numbers labeled in four of them (the four in the Jets circle).  Add those four up and subtract them from the J or G amount to see what is remaining.  For example, if you know 40% follow the Jets, and 52% follow J or G then we know that 52-40=12% remains to put in the two remaining regions of the G circle.  One of those regions we have already labeled x so we will label the other region 12-x.  Again, these are not your numbers, of course.

Finally, we are given the percentage that are B or G followers.  Add those six regions up.  You will note that, besides the numbers, you will be adding -x + x + (-x).  This collects up to just -x.  Of course, there are also a bunch of numbers you can add up in those six regions, so, if all the numbers add up to say 62%, then we discover the six regions add up to 62-x.  But we can set that equal to the percentage that do follow B or G and solve x.

Once you have solved x, you are rolling.  Don't even think about asking me any more questions about this one.  I have told you too much as it is.  You are on your own from there.

Note, in part (a), when they ask how many outcomes there are, count every single region in your Venn diagram to count all the possible outcomes.  For example, a classic two-circle Venn diagram like my question 16, has four separate regions (four separate probabilities or percentages are labelled in the diagram).  Therefore, question 16 has 4 outcomes in its sample space.

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. My question 4 is similar to this problem.