September 24, 2013
MATH 230 Homework #1
(Due: October 1, Tuesday)
(Submit your homework to my office till 5:00 pm)
(Please, DO NOT forget to write your section number to your homework)
1. There are k boxes. Balls are placed at random one at a time into th
September 24, 2012
MATH 230 HOMEWORK # 1
(Due: October 2, 2012, Tuesday)
( Submit your homework to my office till 5:00 pm, latest)
(Please, DO NOT forget to write your section number to your homework)
1. In a lottery, players pick 6 different integers bet
February 13, 2012
MATH 230 Homework #1
(Due: February 20, Monday)
( Submit your homework to my office till 5:30 pm)
(Please, DO NOT forget to write your section number to your homework)
1. Suppose that n indistinguishable balls are distributed into n boxe
February 20, 2012
MATH 230 HOMEWORK # 2
(Due: March 5, 2012, Monday)
(Submit your homework to my office till 5:30 pm)
1. Two construction contracts are to be randomly assigned to one or more of 3
firms: I, II, and III. Any firm may receive more than one c
March 26, 2012
MATH 230 HOMEWORK # 3
(Due: April 2, 2012, Monday)
(Submit your homework to my office till 5:30 pm)
1. Out of a job population of 10 jobs with 6 jobs of class 1 and 4 of class 2, a
random sample of size 5 is selected, without replacement. L
April 9, 2012
MATH 230 HOMEWORK # 4
(Due: April 16, 2012, Monday)
(Submit your homework to my office till 5:00 pm)
1. The CPU time requirement of a typical program measured in minutes is found
to follow a Gamma Distribution with parameters =3 and =2.What
April 30, 2012
MATH 230 HOMEWORK # 5
(Due: May 7, 2012, Monday)
(Submit your homework to my office till 5:00 pm)
(Please, DO NOT forget to write your section number to your homework)
1. Show that the sample variance, S2 is an unbiased estimator for popula
Date: April 22, 2016
Time: 20:15—22:05
Instructor: Dilek Gﬁvenc
IMPORTANT
1
Check that there are 4 questions in
/
MATH 230 M125TERM EXAM 11/
2 Calculators are allowed, but no other ids. um o/ff’your smart phone during the
exam. f
MATH 230 REVIEW QUESTIONS - MT I (Fall 2015)
1. Let A and B be mutually exclusive events in sample space S and A U B = S. If
P(B) = [P(A)]2, find P(A).
2. There are k boxes. Balls are placed at random one at a time into the boxes until, for the first
time
NANHR . . . . . . . . . . . . . . . . . . "
DEPT. . . . . . . . . . . . . . H
Date: December 4, 2015 a
Time: 17:45-19:35
Instructor: Dilek Guvenc
MATH 230 MTDTERM EXAM II
IMPORTANT
1 Check that there are 4 questions i your ooklet. I,
2 Do NOT use you
CS224
I/O
Timers
Timer1 is 16-bit timer
2^16-1 or 65,535
SYSCLK = 40MHz,
Prescalers
1:1, 1:8, 1:64, and 1:256
Use T1CONbits.TCKPS=3 for 1:256 scaling
Prescalar: 1:256, with 40MHz, the timer will
be reset every 1/40e6 * 256 * 65535 = 0.419s.
Timer Imple
November 9, 2015
MATH 230 Homework #4
(Due on November 18, Wednesday)
(Submit your homework to my office till 5:00 pm)
(Please, DO NOT forget to write your section number and your department to your homework)
1. At a certain location on Eskisehir road, th
December 9, 2015
MATH 230 HOMEWORK # 5
(Due on December 21, 2015, Monday)
(Submit your homework to my office till 5:00 pm)
(Please, DO NOT forget to write your section number and your department to your homework)
1. These data are obtained on the random v
October 26, 2015
MATH 230 Homework #3
(Due on November 2, Monday)
(Submit your homework to my office till 5:00 pm)
(Please, DO NOT forget to write your section number and your department to your homework)
1. Let X~ Neg. Bin (r, p). Use formulas of expecte
October 5, 2015
MATH 230 Homework #2
(Due on October 12, Monday)
(Submit your homework to my office till 5:00 pm)
(Please, DO NOT forget to write your section number and your department to your homework)
1. Suppose a factory has 3 machines A, B and C that
March 29, 2016
MATH 230 Homework #5
(Due on Tuesday, April 5, 2016. Submit your homework to my office till 5:00 pm)
(Please, DO NOT forget to sign and hand in Declaration of Academic Honesty form)
1. Keeping an adequate supply of spare parts on hand is an
MATH 230 MIDTERM II REVIEW QUESTIONS (Spring 2016)
1. Accidents at a busy intersection follow a Poisson distribution with a rate of per day.
a) What is the probability that at least 10 days pass between accidents?
b) It has been 1 week since the last acci
MATH 230 REVIEW QUESTIONS - MT I (Spring 2016)
1. Let A and B be mutually exclusive events in sample space S and A U B = S. If
P(B) = [P(A)]2, find P(A).
2. (2009-mt1-Q1)
A box contains r balls numbered from 1 through r. A random sample of n ( n r ) balls
MATH 225 Linear Algebra and Differential Equations
Spring 2016
Homework 2
Due Date: March 22nd, 2016
Name: .
ID Number: .
Section: .
Department: .
Rules:
1. Include this page in your homework as the cover page. Otherwise, you
will lose 10 po
Math 225
Differential Equations & Linear Algebra
Spring Semester 2015-2016
FIRST HOMEWORK ASSIGNMENT
February 22, 2016
Due Date: February 29 , 2016
Name : .
Surname: .; . .
Id. No. : . .
Section : . .
Department: . .
IMPORTANT
.t.l.0.rt.i.§§.~; ‘
7 March 20l6
Time: 19:30—2l215
MATH 225
MIDTERM 1
SURNAME
NAME >0 ( HT! p/Vg
STUDENT NO
STGNATURE
Department
IMPORTANT:
0 This exam consists of 4 questions of equal weight.
0 Please read the questions carefully and write your answers und
Conditional Probability and Independence
Guy Lebanon
January 6, 2006
In the following we assume that A, B are events in the sample space and P is a probability on .
Definition 1. Two events A, B are defined to be independent if P (A B) = P (A)P (B).
The i
Chapter 3
Conditional
Probability
and
Independence
Definition of Conditional Probability
The Multiplication Rule
Bayes Formula
Odds Ratio
Independent Events
P( .F) is a Probability
Importance of the
subject
The importance of the concept
Conditional Probab
Some Proofs from Chapter 2
2.14 A proof by induction proceeds logically by (i) Prove the statement true for some base
case (typically 1 or 2), then (ii)-(iii): Assume that if the statement is true for case n,
then it must be true for n + 1. Notice the log
4.10.2016
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