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ISE 3414 - Probabilistic Operations Research: Midterm Exam
Fall 99: 12-1pm. section
Dr. Bish
September 27, 1999, 50 minutes
NAME:
IDNO:.-..
This examination is open books and open notes. You will have 50 minutes. Please
show all your work, and circle your answers. To obtain any credit you must
show how you obtained the answer even if you used a calculator to actu
ally compute it.
HAVE FUN!
1. pmf - CDF (17 points) 1
2. two die experiments (20 points) 5'
3. skiers insurance problem (30 points) 2~
4. pdf - CDF (18 points) 1 ~
5. ball problem (8 points) 2)
6. True-False questions (7 points) 4
SUM: 100 points
READ FIRST all the problems. Maybe the easiest one is not the first one!
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1.(17 points) Suppose X is a discrete random variable with values 1,2,3,4. If the
cumulative distribution function (CDF) of X is given by :
0, if x < 0,
0, if 0:::; x < 1,
1-
if 1 :::; x < 2,
F(x) =
~,
1-
if\ 2):; x < 3,
2 '
13
ifef~ x < 4,
20'
1, if x 2...

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