SEMESTER:
YEAR:
1ST
1427/1428
COURSE:M301
INSTRUCTOR:
DR. AZEDINE GRINE
SECTION:172
Quiz1
Duration:1h
Exercise1
In a survey of 100 students in an elementary school, it was found that, 28 study
Spanish, 26 study French, and 16 study German. Also,
SEMESTER:
YEAR:
2ND
1426/1427
COURSE:M301
.INSTRUCTOR: DR AZEDINE GRINE
Final Exam
Exercise 1:
I) From a group of 9 juniors, and 3 seniors a committee is randomly selected
(a) In how many ways can we choose a committee of 4?
(b) How many of thos
SEMESTER:1ST
YEAR:
1427/1428
COURSE:M301
INSTRUCTOR:
DR AZEDINE GRINE
SECTION:172
Quiz 2
Duration: 1h
Exercise 1:
Suppose that A, B, and C are events in a random experiment with P(A | C) = 1 / 2,
P(B | C) = 1 / 3, and P(A
a. P(A
b. P(A
c. P(Ac
B
SEMESTER:1ST
YEAR:
1427/1428
COURSE:M301
INSTRUCTOR:
DR AZEDINE GRINE
SECTION: 171
Quiz 1
Duration: 1h
Exercise 1:
Suppose 50 science students are polled to see whether or not they have studied French
(F) or German (G); yielding the following da
SEMESTER:
YEAR:
1ST
1427/1428
COURSE
M 301
INSTRUCTOR:
SECTION:172
DR AZEDINE GRINE.
Mid-term1
Duration: 2h
Exercise 1:
(a) How many different 7 place license plates are possible if the first 3 places are for
letters and the other 4 for numbers?
ESTER:
R:
1ST
1426/1427
RSE:
MATH 301
RUCTOR:
DR. GRINE AZEDINE
M.T1
Exercise1: Consider three classes, each consisting of n students. From this group
of 3n students a group of 3 students is to be chosen.
a) How many choices are possible?
b) How m
1
SEMESTER:
YEAR:
1ST
1426/1427
COURSE:M
301
INSTRUCTOR:
DR.AZEDINE GRINE
HOMEWORK
1
Exercise 1: A small community organization consists of 20 families, of
which 4 have one child, 8 have two children, 5 have three children, 2
have four children,
SEMESTER:1ST
YEAR:
1427/1428
COURSE:M301
INSTRUCTOR:
DR AZEDINE GRINE
SECTION: 171
Quiz 1
Duration: 1h
Exercise 1:
Suppose 50 science students are polled to see whether or not they have studied French
(F) or German (G); yielding the following da
KINGDOM OF SAUDI ARABIA
Ministry of Higher Education
Al-Imam Muhammad Ibn Saud Islamic University
College of Computer & Information Sciences
MATH 301
FINAL EXAM
JANUARY 2005
Duration : 02 h
EXERCISE 1 :
1) Let S a1 , a 2 , a3 and let P be a prob
ESTER:
R:
1ST
1426/1427
RSE:
MATH 301
RUCTOR:
DR. GRINE AZEDINE
M.T1
Exercise1: Consider three classes, each consisting of n students. From this group
of 3n students a group of 3 students is to be chosen.
a) How many choices are possible?
b) How m
SEMESTER:
YEAR:
1ST
1426/1427
COURSE:M301
INSTRUCTOR:
DR AZEDINE GRINE
Mid-Term 2
Exercise 1: suppose a random variable X takes on the values -5, 1, 3,
7and 9 with respective probabilities (k+1)/14, (3k + 4)/14, (2k 1)/14,
(2k +1)/14, and k/14.
SEMESTER:1ST
YEAR:
1427/1428
COURSE:M301
INSTRUCTOR:
DR AZEDINE GRINE
SECTION:172
Quiz 2
Duration: 1h
Exercise 1:
Suppose that A, B, and C are events in a random experiment with P(A | C) = 1 / 2,
P(B | C) = 1 / 3, and P(A
a. P(A
b. P(A
c. P(Ac
B
SEMESTER:
YEAR:
1ST
1427/1428
COURSE
M 301
INSTRUCTOR:
DR AZEDINE GRINE.
SECTION:172
M.T2
Exercise 1: A box contains 10 coins where 5 coins are two-headed, 3 coins are twotailed, and 2 are fair coins. A coin is chosen at random and tossed.
(a) Fin
SEMESTER:
YEAR:
2ND
1426/1427
COURSE:M301
INSTRUCTOR:
DR AZEDINE GRINE
M.T 2
Exercise 1:
Let X be a random variable with probability density function f(x) = c/
for 0 < x < 1 and 0 else, where c is a positive constant.
1) What is the cumulative d
SEMESTER:1ST
YEAR:
1427/1428
COURSE:M301
INSTRUCTOR:
DR AZEDINE GRINE
SECTION: 171
Quiz 2
Exercise 1:
Suppose that a bag contains 3 coins: 1 is fair, 1 is biased with probability of heads 1/3;
and 1 is two-headed. A coin is chosen at random from
SEMESTER:
YEAR:
1ST
1427/1428
COURSE
M 301
INSTRUCTOR:
DR AZEDINE GRINE.
SECTION:171
M.T2
Exercise 1: A plant has 3 assembly lines that produce memory chips. Line 1 produces
50% of the chips and has a defective rate of 4%; line 2 produces 30% of t
SEMESTER:
YEAR:
1ST
1427/1428
COURSE:M301
INSTRUCTOR:
DR. AZEDINE GRINE
SECTION:172
Quiz1
Duration:1h
Exercise1
In a survey of 100 students in an elementary school, it was found that, 28 study
Spanish, 26 study French, and 16 study German. Also,
SEMESTER:
YEAR:
1ST
1427/1428
COURSE
M 301
INSTRUCTOR:
SECTION:172
DR AZEDINE GRINE.
Mid-term1
Duration: 2h
Exercise 1:
(a) How many different 7 place license plates are possible if the first 3 places are for
letters and the other 4 for numbers?
SEMESTER:
YEAR:
1ST
1427/1428
COURSE:M301
INSTRUCTOR:
DR AZEDINE GRINE.
SECTION:171
Mid-term1
Duration: 2h
Exercise 1: For years, telephone area codes in a certain country consisted of sequence of
three digits. The first digit was an integer bet
SEMESTER: 1
YEAR:1427-1428
COURSE: MATH 301
DATE: JANUARY 2007
DURATION: 02H
INSTRUCTOR: Dr A.GRINE, AND
Dr
M. BAHLOUL
Your exam should contain 3 pages and 5
the following questions :
exercises .
Please answer
4 exercises of
EXERCISE 1 :
A)In
SEMESTER:
YEAR:
2ND
1426/1427
COURSE:M301
INSTRUCTOR:
DR AZEDINE GRINE
Quiz
Exercise 1:
Suppose that A and B are events in a random experiment with P(A) = 1 / 2, P(B) = 1 /3
P(A | B) = 3 / 4. Find each of the following
a.
b.
c.
d.
P (A B).
P (A
SEMESTER:
YEAR:
2ND
1426/1427
COURSE:M301
INSTRUCTOR:
DR AZEDINE GRINE.
Mid-term1
Duration: 2h
Exercise 1: In how many ways can 8 people be seated in a row if
(a) there are no restrictions on the seating arrangement;
(b) persons A and B must sit
SEMESTER:
YEAR:
2ND
1426/1427
COURSE:M301
.INSTRUCTOR: DR AZEDINE GRINE
Final Exam
Exercise 1:
I) From a group of 9 juniors, and 3 seniors a committee is randomly selected
(a) In how many ways can we choose a committee of 4?
(b) How many of thos
SEMESTER:
YEAR:
2ND
1426/1427
COURSE:M301
.INSTRUCTOR: DR AZEDINE GRINE
Final Exam
Exercise 1:
I): How many different linear arrangements are there of the letters, A, B, C, D, E, F
for which
a) A and B are next to each other;
b) A is before B;
c
SEMESTER:
YEAR:
2ND
1427/1428
COURSE:M301
INSTRUCTOR:
DR AZEDINE GRINE
Quiz2
Duration: 30 minutes
Name:
Section:
Exercise 1: In how many ways can 4 boys and 5 girls sit in a row if the boys and the
girls must alternate?
Exercise 2: A student is
SEMESTER:
YEAR:
2ND
1427/1428
COURSE:M301
INSTRUCTOR:
DR AZEDINE GRINE
SECTION 172
Quiz 1
Duration: 30 minutes
:Exercise 1
A certain town of population size 100,000 has 3 newspapers: I, II, and III. The
proportions of townspeople who read these
SEMESTER:
YEAR:
2ND
1427/1428
COURSE:M301
INSTRUCTOR:
DR AZEDINE GRINE
Quiz2
Duration: 30 minutes
Name:
Section:
Exercise 1: In how many different ways can a true-false test consisting of 9 questions
be answered?
Exercise 2: Find the number of w
SEMESTER:
YEAR:
2ND
1427/1428
COURSE:M301
INSTRUCTOR:
DR AZEDINE GRINE
Quiz3
Duration:30'
Name:
Section:
Exercise1: an urn A contains 3 red and 3 black balls, whereas urn B
contains 4 red and 6 black balls. If a ball is randomly selected from ea
SEMESTER:
YEAR:
2ND
1427/1428
COURSE:M301
INSTRUCTOR:
DR AZEDINE GRINE
SECTION: 171
Quiz 1
Duration: 30 minutes
Exercise 1:
An elementary school is offering 3 language classes: one in Spanish, one in French,
and one in German. These classes are
SEMESTER:
YEAR:
2ND
1426/1427
COURSE:M301
.INSTRUCTOR: DR AZEDINE GRINE
Final Exam
Exercise 1:
I) From a group of 9 juniors, and 3 seniors a committee is randomly selected
(a) In how many ways can we choose a committee of 4?
(b) How many of thos