Math 218 Final Examination: Fall 2006
Name (Printed)
Student ID
Signature (handwritten)
Directions.
Fill out your name, signature, and student ID number on the lines above; then checkmark the lecture
time and discussion time in the space provided below.
Do not OPEN the test booklet until instructed to
do so. After
you are so instructed, make sure all
11
pages are present (not including tables, which are distributed
separately).
Note that the separately distributed sheet of tables is printed on both sides.
On this examination, you may use a calculator and
one
81/2 by 11inch sheet of
handwritten
notes (both sides
may be written on). No books or other notes are permitted.
When an answer box is provided, copy your answer into that box. Numerical answers should be evaluated to be
either decimals or fractions.
Numerical answers alone are not suﬃcient; you MUST indicate how you
derived them (show your work).
When submitting a numerical answer which is a decimal, give three
accurate
digits following the decimal point; when submitting a fraction, make sure it's reduced to lowest terms. Be sure to
include the appropriate units (for example, feet, pounds, mph, etc.).
All problems are equally weighted (
10
problems at
20
points each =
200
points total).
Check one lecture time:
9:00 MWF (Bruck)
10:00 MWF (Bruck)
10:00 MWF (Mesyan)
11:00 MWF (Lin)
11:00 MWF (Verona)
12:00 MWF (Mesyan)
12:00 MWF (Lin)
1:00 MWF (Verona)
2:00 MW (Mesyan)
2:00 MW (Lin)
Check one TTh discussion time:
8:00
9:00
10:00
11:00
12:00
1:00
2:00
3:00
4:00
Do not write on this page below this line!
1 (20 pts)
6 (20 pts)
2 (20 pts)
7 (20 pts)
3 (20 pts)
8 (20 pts)
4 (20 pts)
9 (20 pts)
5 (20 pts)
10 (20 pts)
(100 pts)
(100 pts)
Total Points
1
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Problem
1 (20 pts)
.
30
marbles are sitting on a table:
6
red,
9
blue, and
15
green. All of the red marbles,
3
of the
blue marbles, and
10
of the green marbles are covered in chocolate, because a child played with them while eating a
piece of pie. The remaining marbles were out of the child's reach and remained clean.
(a) Draw a probability tree describing the situation. Be sure to include the labels of events, probabilities, and
conditional probabilities.
(b) If a randomly selected marble is covered in chocolate, what is the probability that it is red?
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 Fall '06
 Haskell
 Math, Normal Distribution, Probability, Standard Deviation, researcher, home computer, AAPL

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