04 October 2010

No class Tue 05 Oct 2010

Due to Hal being sick again.  Sigh.

So here's a puzzle to entertain you while you're not learning all about treebanking and PCFGs....

Suppose Hal presents symptoms that make it 90% certain that he has some illness X.  And suppose that the rate of transmission of X is 5%.  Suppose that the average rate of incidence of X in a general population is 0.01%.  What is the probability that you would get sick if we had class tomorrow (and you showed up)?  There are 45 students in class: what's the probability that at least one would get sick?  Finally, suppose that your utility function is defined as U(learn about pcfgs and don't get sick) = +10, U(don't learn and don't get sick) = 0, U(learn and get sick) = -20, U(don't learn and get sick) = -100.  (How annoying would that be.)  What is the expected utility if I do teach class?  What is the expected utility if I cancel class?  Am I doing the right thing?

Feel free to post solutions :).

4 comments:

  1. I'm sorry to hear that you're ill. However, I have to ask - is there any chance that we can get an email in circumstances like this? Just on those rare occasions when something is critical or there is late notice? I check the blog, but certainly not within every 16 hour window.

    Thank you! See you Thursday!

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  2. I'm not sure -- I'll look in to see if I can figure out how to send emails to the class. (If there's a way, I'll do it in the future.)

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  3. Hal - You should be able to create a class reflector. See: http://www.helpdesk.umd.edu/topics/email/lists/coursemail/262/

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  4. P(I get sick)=4.5%
    P(Someone gets sick)=87.4%
    U(Class)=8.65
    U(Cancel)=-.01

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