DEPARTMENT OF MATHEMATICS
SYLLABUS
Course # & Name:
MAT 135A: Probability Theory
Recommended Text(s) & Price:
Prepared by:
C. Tracy and A.
Soshnikov
Lecture(s)
Probability and Stochastic Processes,
Frederick Solomon, 1st Edition, Prentice
Hall, ISBN-10: 0
MAT 135A 2014-2015 PRACTICE FINAL
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assessed a 20 points deduction on their final scores.
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When was alphabetic writing adopted by the Greeks?
A.ClassicalPeriod
B.BronzeAge
C.ArchaicPeriod
D.DarkAge
E.HellenisticPeriod
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Answer
Key: C
Feedback: Incorrect. The alphabet was introduced in the Archaic
Period.
Question 2 of 13
Which god
Q1
Plotting alice and bob's scores on a grid, the problem can be visualized as counting the number of paths from (3, 2) to the winning state of Alice or Bob, as depicted
in the following diagram.
A
A
(3, 5) (4, 5)
(3, 4) (4, 4) (5, 4) B
(3, 3) (4, 3) (5,
MAT 135A 2014-2015 PRACTICE MIDTERM 1
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assessed a 20 points deduction on their final scores.
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All your answers must be written
Chapter 3 Summary
Expectation of Absolutely Continuous Random Variables
Expectation of Discrete Random Variables
If X is an absolutely continuous random variable with
density fX , then
Z
E(X) =
xfX (x) dx .
If X is a discrete random variable, then
X
E(