Monday, September 24, 2012

Here is a cool newspaper article reporting on couples' premarital jitters about the marriage and the chance of divorce: http://www.sciencedaily.com/releases/2012/09/120913173324.htm, based on "Do Cold Feet Warn of Trouble Ahead? Premarital Uncertainty and Four-Year Marital Outcomes." Lavner, Justin A. Karney, Benjamin R. Bradbury, Thomas N. ; Journal of Family Psychology, Sep 3, 2012.

It is a great piece to combine conditional probability, joint probability tables, frequency tables and the law of total probability... let's see if one of my students can answer the question:

"What is the chance a couple got divorced? Don't round intermediate results, even though partial people make no sense. Report the final solution with two digit precision."

there are four ways to solve it, three of which are easier, using less of the reported detailed results. Therefore you need to amend the assignment :
You may not use the information from the following paragraph: 
"Among women, 19 percent of those who reported pre-wedding doubts were divorced four years later, compared with 8 percent of those who did not report having doubts. For husbands, 14 percent who reported premarital doubts were divorced four years later, compared with 9 percent who did not report having doubts."

The beauty is that the newspaper reports rounded percentages so by asking not to round intermediate results, even knowledge of the original paper (which I assume most students can easily find electronically) does not help!



Wednesday, September 19, 2012

Cute Stats Video


A student of mine just pointed out this PBS Sid the Science Kid Video:

http://www.youtube.com/watch?v=V87I10yMIb4

Maybe not really appropriate for college students anymore, but cute nonetheless...

Saturday, September 15, 2012

ON COMBINATION LOCKS

Shouldn't they be called permutation locks instead? I have used this as a bonus question in the past. Also asking for the number of permutations makes for a nice exam question... most students miss the 0000



Wednesday, September 12, 2012

MY END OF SEMESTER CHALLENGE



The problem below combines all kinds of probability related issues: Normal, binomial and hypergeometric distributions, conditional probabilities and lots of random variables. 

Time permitting I have used the big problem below to give my students a last challenge before the semester is over. At the undergraduate level (Business Statistics I) I usually let the whole class work together on this for an entire class period and encourage them all to bring their laptops as well as using the white board to collect the results. For my MBA stats class I have given it as a take home problem. I won't post the solution here, but if you email me (grzimek(AT)yahoo.com) and provide the URL to your faculty page (to ensure I don't send the solution to your students), I will email you the answer.


Here is the final challenge for the semester…

·                     In Aismyfavoritegradia you pass by a casino where you are asked to draw 4 cards randomly out of a poker deck (of 52 cards). The random variable W is the number of face cards in your draw (face cards being Kings, Queens and Jacks).
·                     Next you come to your favorite beer garden. You have invited 3 friends to meet you there and, even though each of them said that he would come, there is only an independent 60% chance for each of them showing up. The number of friends that show up is the random variable X
·                     Next you go to the Miller residence where two of your friends live. Jim is at home 60% of the time. If Jim is home, Joe is home with a 50% chance. If Jim is not at home, Joe is at home with a 75% chance. Denote the number of friends you meet at home as the random variable Y.
·                     Finally you run into me. I on 8 statistics books, 5 of which I have read. You have read 3 of the 8 (and those are independent of the ones I have read). We compare our reading experience and the number of books that  both of us have read is the random variable Z.
·                     Tired of all these statistics questions you decide to leave this exhausting country. At the border you run into an elf that tells you the following: Let A = max(W,X) and B = max(Y,Z). You get a random exit price which is normally distributed with mean $5,000 + $10,000*A and standard deviation $5000+$5000*B. What is the probability that the random exit price is more than $35,000? 

Saturday, September 8, 2012

THE LATEST JOBS REPORT - MANY NICE GRAPHS

The Washington Post has a nice collection of graphs about the August jobs report. A great tool to let the students practice to interpret lie and bar charts! Here is a link to the report: August Job Report