Bilkent University
‘ Math255 Probability and Statistics
Section 1, Quiz 2
16 Feb. 2016
15 minutes. One problem. 10 points. Closed book. One one-sided A4—size sheet of notes allowed.
Show your work and write your ﬁnal answer in the designated box to receiv
MATH 255, Fall 2011
D. Akta
s
Due on Thursday, Oct 20th, 2011 @ 17:00
Submit to the box in front of EE-506
HOMEWORK 2
Problem 1: A computer chip manufacturer has data that for every 100 chips produced, 85 meet
the specications, 10 need some additional wor
MATH 255, Fall 2011
D. Akta
s
Due on Tuesday, Oct 11th, 2011 @ 17:00
Submit to the box in front of EE-506
HOMEWORK 1
Problem 1: Consider a fair four-sided die. Suppose we roll the die once and then we roll it
as many times as necessary till we get a diere
MATH 255, Fall 2011
D. Akta
s
Due on TUESDAY, Nov 22nd, 2011 @ 17:00
Submit to the box in front of EE-506
HOMEWORK 4
Problem 1: A continuous random variable X has PDF
fX (x) =
C(1 x2 ),
1 x 1,
0,
elsewhere.
,
where C is a constant.
a) Determine C and plot
MATH 255, Fall 2011
D. Akta
s
Due on TUESDAY, December 6th, 2011 @ 17:00
Submit to the box in front of EE-506
HOMEWORK 5
Problem 1: It is given that when a phone call is made, the line is busy with probability 0.2
and no one answers with probability 0.3.
MATH 255, Fall 2011
D. Akta
s
Due on THURSDAY, December 22nd, 2011 @ 17:00
Submit to the box in front of EE-506
HOMEWORK 6
In this homework, we will investigate how to generate random numbers that are distributed
according to a certain PDF or PMF using a
MATH 255
MIDTERM EXAM
25 March 2013
120 min Closed books and notes. FULLY JUSTIFY ALL ANSWERS.
1. A shopper randomly chooses to buy either apples (Ap), pears (Pe) or oranges (Or) from
the market with the following probabilities : P(Ap) = 0.5, P(Pe) = 0.2,
MATH 255
MIDTERM 2 EXAM
120 min Closed books and notes. FULLY JUSTIFY ALL ANSWERS.
1. X and Y are independent random variables with the following pdfs :
fX (x) =
fY (y) =
1
2
0
1
3
0
if x [1, 1]
else
if y [1, 4]
else
(a) (4 points) Find and plot the pdf o
$2 SOLo’n om my a
Bilkent University Spring 2015-2016
Math255 Probability and Statistics
Section 1, Quiz 7
5 April 2016
15 minutes. One problem. 10 points. Closed book. One one—sided A4-size sheet of notes allowed.
Show your work and write your ﬁnal a
Math255: Probability and Statistics
Bilkent University
Spring 2014-2015
Midterm 2 Answers
16 April, 2015
P1. (5 points) Ali arrives at the Bilkent bus stop to take a bus to Tunus. The chances that
he finds a bus waiting upon arrival is 50%. If there is no
MATH255 Homework 2
(Clearly justiyfy all answers.)
(Due 28 Feb 2013 for Section 1, 1 Mar 2013 for Section 2. Bring the solutions to the class.)
Write your Bilkent student number. Take its four least signifcant digits as a four digit number; call
it N . Co
MATH255 Homework 3
(Clearly justiyfy all answers.)
(Due 12 March 2013 for Section 1, 13 Mar 2013 for Section 2. Bring the solutions to the class.)
Write your Bilkent student number. Take its three least signifcant digits, N3 N2 N1 as three one digit
numbe
MATH255 Homework 1
(Clearly justiyfy all answers.)
(Due 21 Feb 2013 for Section 1, 22 Feb 2013 for Section 2. Bring the solutions to the class.)
Write your last name using capital letters. Associate the integer numbers 1 through 29 to each letter in
your
MATH 255 Homework
Due 7 May (Sec 1) and 8 May (Sec 2) 2013
1. Go to www.random.org .
2. Generate and store a sequence of true random numbers X n (length=200,
n=0,.,199) uniformly distributed in the interval [0,1].
3. Pass these random numbers through a di
MATH 255, Fall 2011
D. Akta
s
Due on TUESDAY, January 3rd, 2011 @ 17:00
Submit to the box in front of EE-506
HOMEWORK 7
1) Go to www.random.org and generate a sequence of 100 random numbers Xn for n = 0, 1, . . . , 99
uniformly distributed in the continuo
MATH255 Homework 4
(Clearly justify all answers.)
(Due 18 November 2014. Bring the solutions to the class.)
Write your Bilkent student number, which is an eight~digit number. Label the digits as $0, $1 - - m7,
where so represents the least signiﬁcant digi
MATH 255
Homework 7
Due 23 December 2014
1. Go to www.random.org .
2. Generate and store a sequence of true random numbers Xn (length=300,
n=0,.,299) uniformly distributed in the interval [0,1].
3. Pass these random numbers through a discrete FIR filter t
MATH255 Homework 2
(Clearly justiyfy all answers.)
(Due 21 October 2014. Bring the solutions to the class.)
Write your Bilkent student number. Take its four least signifcant digits as a four digit number; call
it N . Compute M = [(N 2 1) mod 5] + 2. Examp
Bilkent University
Fall 2015-2016
Math255 Probability and Statistics
Midterm 2 Solutions
5 Dec 2015, 1:30 - 3:30 pm
120 minutes. Three problems. 30 points. Closed book. You may use one two-sided
A4-size sheet of notes. Good luck!
P1. (10 points) The two p
Math255: Probability and Statistics
Bilkent University
Fall 2015-2016
Midterm 1
24 October 2015, 10:00 - 12:00
120 minutes. Three problems. 30 points. Closed book. One one-sided A4-size sheet of notes allowed.
Solutions
P1. (10 points) The two parts of th
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Bilkent University Spring 2015—2016
Math255 Probability and Statistics
Section 1, Quiz 3
23 Feb. 2016
15 minutes. One problem. 10 points. Closed book. One oneesided A4~size sheet of notes allowed.
Show your work and write your ﬁnal answer in the designate
MATH255 Homework 5
(Clearly justiyfy all answers.)
(Due 28 Nov 2014. Bring the solutions to the class.)
Write your Bilkent student number. Take its three least signifcant digits as a three digit number; call
it N . Compute M = [(N 3 2) mod 5] + 2. Example