2008 September 15 (1:00 PM – 4:00 PM)
General Instructions:
1. You may use only pens with Black or Blue ink; otherwise only 50% of
score is recorded.
2. Students caught cheating will automatically get a grade of 5.0 in this
course.
3. Do not round off intermediate values. Final answers should be given
in exactly 5 significant digits.
4. Box final answers. Should there be ambiguity on what your final
answer is, you stand to lose all the points in that item.
5. Late papers will receive a 1point penalty for every minute late.
6. Use of cell phones is prohibited.
7. Use only the right side of your bluebook. Use the left side for
scratch. The teacher will not check stuff written on the left side of
the bluebook.
8. No borrowing of calculators between students. In case two students
are caught sharing a calculator, teacher will keep said calculator for
the duration of the test.
9. Insert questionnaire in bluebook after the test. Bluebooks with no
questionnaires inserted will not be checked.
Highest possible score: 122/120 (102%)
Passing:
71/120 (60%)
I. True or False
. If the statements provided are necessarily true, mark the
item True. Otherwise, mark it False. (6 points  1 point each)
1. If X and Y are independent then we can safely conclude that
changes in X do not cause changes in Y.
2. If the conditional probability at a certain point P(X > a  Y = b) = P(X
> a) then X and Y are independent.
3. The maximum value for a joint pdf is 1.
4.
σ
xy
, if Y is identical to X, is just
σ
x
.
5. Independent random variables always have zero correlation.
6. If X is independent from Y, and Y from Z, then X is independent from
Z.
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View Full DocumentII. Possible or Impossible.
If the descriptions provided could not possibly
occur within the rules governing probability distributions or mathematical
laws in general, mark the item Impossible. Otherwise, mark it Possible. (10
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 Spring '11
 a
 blue book, 3 g, Subproject, Voila, V. Tabula Rasa

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