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Friday, January 31, 2014

Super Bowl Weekend!

Go Broncos? Or Seahawks?

This weekend your homework deals with conditional probability and tree diagrams.

On Monday I will check that you've completed the worksheet we started in class. If you were absent or lost it, the problems are below.
(Hint: Those who drink moderately or abstain from drinking are both considered "non-bingers," and thus have the same probability of being involved in an alcohol related auto accident.)

I will check the problems in our textbook on Wednesday. So, in other words, here's Monday night's homework (you can save the three I mentioned in class for Monday night):

Monday's HW: Page 365: 33, 35, 37, 39, 43

And don't forget...our chapter 15 vocab quiz is Monday!

1.) A private college report contains these statistics:

70% of incoming freshmen attended public schools
75% of public school students who enroll as freshmen eventually graduate
90% of other freshmen eventually graduate

Create a tree diagram…
·         What percent of freshmen eventually graduate?
·         What is the probability that a student who attended public school graduates?
·         What is the probability that a student who attended a non-public school graduates?
·         What is the probability that a given graduate attended public school?
·         What is the probability that a student who did not graduate attended a non-public school?
·         Are graduation and public/other schooling independent? Explain.


2.) Binge Drinking and Its Risks:
         Binge Drinking:
         Men: 5 or more drinks in a row
         Women: 4 or more drinks in a row
          Study by Harvard School of Public Health:
         44% of college students binge drink
         37% drink moderately
         19% abstain
         American Journal of Health Behavior:
         17% of binge drinkers 21 – 34 involved in alcohol related auto accident
         9% of nonbingers have been in such accidents


  1. What’s the probability a randomly selected college student will be involved in an alcohol related accident?
  2. What’s the probability a randomly selected college student will be a binge drinker who’s had an alcohol-related auto accident?
  3. What’s the probability a randomly selected college student will abstain and be related in an alcohol related accident?
  4. If we know a student has had an alcohol-related accident, what’s the probability he/she is a binge drinker?
  5. Suppose we randomly select a student who has not been in an accident. What is the probability he/she is a binge drinker?

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