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