IEOR 3600: HMWK 3
1. Suppose that apriori we do not know the proportion p of voters who will vote for
candidate A (versus candidate B), but that when we randomly selected five voters,
exactly 3 said they would vote for A. Find the value of p that maximize
IEOR 3600: HMWK 4
1. A company makes boxes of various sizes as follows: The length (L) is a rv with
probability mass function P (L = 2) = 0.3, P (L = 4) = 0.7. The width (W) is
a rv with probability mass function P (W = 3) = 0.3, P (W = 4) = 0.4, P (W =
IEOR 3600, HMWK 2, Professor Sigman
Recall that there are several notations used in books to denote the complement of a
set. For a set A , all three of these denote the complement of A: A, A0 , Ac . The
complement is defined by cfw_w : w
/ A. (In our cla
IEOR 3600: Solutions to HMWK 1
f (u)du = 1 ex and
f (x)dx = limx 1 ex = 1.
(b) 0 xf (x)dx. Integration by parts (U = x,
dV = f (x)dx) easily yields the answer as 1/.
(c) 0 x2 f (x)dx. Integration by parts twice yields
the answer as 2/2 .
SIEO 3600: HMWK 6
You will find the Lecture Notes 5 (Further Topics in Probability) posted on our course
website very useful for doing this HMWK assignment.
1. Let X have an exponential distribution at rate ; its probability density function
is f (x) = ex
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C1403 Midterm 1 Formula Sheet
x(t ) xm cos(t 0 ) v(t ) xm sin(t 0 )
a(t ) 2 xm cos(t 0 ) 2 x(t ) 1 f 2f T k m T 2 m k 1 2 U (t ) kxm cos 2 (t 0 ) 2 1 2 K (t ) kxm sin 2 (t 0 ) 2 1 2 E mec U K kxm 2 I T 2
1 2 v 2 ym 2 2 y 1 2 y x 2 v 2 t 2 y( x, t )
~IEO 4150 SECOND EXAMINATION NOVEMBER 11, 2008
SHOW ALL, WORK! !
1. This exercise refers to the table provided, showing education and related
data for the states. Using the circled population data for the Mountain and
Pacific states (AK, AZ, CA
APMA4901: Seminar in Applied Mathematics Wednesdays 11:00am-11:50am prof: Chris Wiggins [email protected] c Chris Wiggins 2011. Please do not duplicate without permission. The seminar in applied mathematics is a required course for all juniors an
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