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 number
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)
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
230 REVIEW QUESTIONS - MT I (Spring 2015)
1. A purchaser of electrical components buys them in lots of size 10. It is his policy to inspect
3 components randomly from a lot and to accept the lot only
MATH 230 REVIEW QUESTIONS - MT I (Fall 2017)
1. A man has n keys exactly one of which fits the lock. He tries the keys one at a time, at each
trial choosing at random from the keys that were not tried
Date: January 4, 2014
Time: 18 :3020130
Instructor: Dilek Giivenc
2 Do NOT use your mobile phone as a e um it off during the exam.
3 Show all your W rk. Correct results without fcient explanation an
NAME: .
DEPT: .
Date: January 7, 2013 4
Time: 12:3014:40
Instructor: Dilek Gvenc
MATi FINAL EXA /
/
IMPORTANT /
1 Check that there are 5 question 11 your bookl t. /
2 Do NOT use your 1 Jfobile phone 5
IE 213 MATHEMATICAL MODELING
HOMEWORK VII
(Due on 16.12.2015, 24:00)
A company has two plants, one at Rome and one at Milan. In addition, it has four depots with
storage facilities at Venice, Florence
September 14, 2015
MATH 230 Homework #1
(Due on September 21, 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 h
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 homewo
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 homew
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 yo
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 h
MATH 230 MIDTERM II REVIEW QUESTIONS
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?
MIDTERM 2 REVIEW QUESTIONS
1. An ambulance travels back and forth, at a constant speed, along a road of length L. At a
certain moment of time an accident occurs at a point uniformly distributed on the
Fall 2017. M230 Homework 1. Due to Monday, October 2, Time 17:00.
Please DO NOT forget to write your name, surname, section number and
Department.
1. Suppose 100 balls are randomly distributed into 10
Fall 2017. M230 Homework 3. Solutions.
1. Suppose that 201? balls are randomly distributed into 100 boxes.
8.) Find the probability that there are exactly 1000 balls in the rst 80
boxes.
b) Find the e
October 8, 2013
MATH 230 HOMEWORK # 2
(Due: October 21, 2013, Monday)
(Please, submit your homework to my office by 5:00 PM)
(DO NOT forget to write your Section number and Department)
1. An employer
October 25, 2013
MATH 230 HOMEWORK # 3
(Due: November 4, 2013, 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
REVIEW QUESTIONS - MT I
1. Suppose we have 5 coins such that if the i-th coin is tossed head will appear with probability
i
, i = 1,2, 5. (Coins are not fair) When one of the coins is randomly selecte
4.10.2016
NSAN KAYNAKLARI
YNETM
K Ne Yapar
Kaynaklar
Finansal kaynaklar
Makina, tehizat
Bilgi
nsan
Cahit Ali Bayraktar
r. Gr. Dr.
T Endstri Mhendislii
Blm
letmenin en nemli kaynaklarndan biri
olan
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
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
s
Fall 2017. M230 Homework 3. Due to Monday, October 30, Time 17:00.
Please DO NOT forget to write your name, surname, section number and
Department.
1. Suppose that 2017 balls are randomly distributed
November 13? 2017
Fall 2017. M230 Homework 4 Solutions
1. Density of a random variable X is given by
c(x1)(2x) if l<x<2
0 elsewhere
f(x)=cfw_
a) Find the value of constant c.
b) Find the mean of X.
c)
October 9, 2017
Fall 2017. M230 Homework 2. Due on Monday, October 16. Time 17:00.
Please DO NOT forget to write your name, surname, section number and
Department.
1
1. Suppose that a biased coin that
November 6, 2017
Fall 2017. M230 Homework 4. Due on Monday, November 13. Time 17:00.
Please DO NOT forget to write your name, surname, section number and Department.
1. Density of a random variable X
Bernoulli Distribution:
P( X = x) = f(x) = p x q1-x
E(X) = p,
x = 0, 1 where q = 1 - p
Var(X) = pq,
M x(t) = pet + q
Binomial Distribution:
n
x
P( X = x) = f(x) = p x q n-x
E(X) = np,
x = 0, 1, n
M x