Department of Statistics & O.R.
College of Science, King Saud University
STAT 324 - Final Examination
First Semester - (1431 1432 H)
Mobile Telephones are not allowed in the classrooms.
Time allowed is 180 minutes. * Answer all questions.
Choose t

Department of Statistics and Operations Research
College of Science
King Saud University
Second-term 1425/1426
First Mid-term Exam
Probability and Statistics for Engineering
Time: 2 hours
Total 30 Marks
Student Name:
Student Number:
Section Number:
Teache

324 Stat
Lecture Notes
(5) Some Continuous
Probability Distributions
( Book*: Chapter 6 ,pg171)
Probability& Statistics for Engineers & Scientists
By Walpole, Myers, Myers, Ye
5.1 Normal Distribution:
The probability density function of the
normal random

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324 Stat
Lecture Notes
(1) Probability
( Chapter 2 of the book pg 35-71)
1
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Definitions:
Sample Space:
Is the set of

324 Stat
Lecture Notes
(4) Some Discrete
Probability
Distributions
( Book: Chapter 5 ,pg 143)
4.1 Discrete Uniform
Distribution:
Discrete Uniform is
not in the book, it
should be studied
from the notes
If the random variable X assume the
values with equal

324 Stat
Lecture Notes
(3) Mathematical
Expectation
( Book: Chapter 4 ,pg 111-137)
Mean of a Random Variable:
Definition:
Let X be a random variable with probability distribution f(x).
The mean or expected value of X is:
E( X ) X f ( X )
if X is discrete

324 Stat
Lecture Notes
(2) Random Variable and
probability Distribution
( Chapter 3 of the book pg 81-94)
2.1 Definition: A Random Variable:
A random variable is a function that associates a real
number with each element in the sample space.
EX (3.1 pg 82

324 Stat
Lecture Notes
(6) Fundamental
Sampling Distribution
and Data Discription
( Book*: Chapter 8 ,pg225)
Probability& Statistics for Engineers & Scientists
By Walpole, Myers, Myers, Ye
8.1 Random Sampling:
Population:
A population consists of the tota

Discussion1
Exhibit 1-1
Part of the data bank of a corporation is shown below.
Employee Rank
Years of
Yearly Salary(1 - 10)
Experience
DepartmentGender
$ 52,443.00 10
15
Accounting Male
$111,239.00 7
24
IT
Female
$ 84,473.00 4
20
Personnel
Female
$ 47,519

DISCUSSION 5
In the following multiple-choice questions, please indicate the correct answer.
1.
2.
In order to determine the p-value, which of the following is not needed?
a. The level of significance
b. Whether the test is one or two tail
c. The value of

1427/1426
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) 5
Choose the correct answer by circling the letter T for TRUE or F for FALSE.
1.
T F The feasible region is the set of all points that satis

Chapter 1
True/False Questions
1. A population is a subset of measurements taken from a large group.
False
2. It is assumed that a sample contains all measurements in which the researcher is interested.
True
3. The first quartile is the 50th percentile.
F

NAME: _
MAT 200 Applied General Statistics
Midterm Examination
1. The main purpose of descriptive statistics is to:
a.
b.
c.
d.
Summarize data in a useful and informative manner.
Make inferences about a population.
Determine if the data adequately represe

Testing for a Population Mean with a
Known Population Standard Deviation- Example
EXAMPLE
Jamestown Steel Company manufactures and assembles desks and other office
equipment. The weekly production of the Model A325 desk at the Fredonia Plant follows
the n

DISCUSSION 5
In the following multiple-choice questions, please indicate the correct answer.
1.
2.
In order to determine the p-value, which of the following is not needed?
a. The level of significance
b. Whether the test is one or two tail
c. The value of

1.
The normal distribution is a _ distribution.
a. Discrete
b. Continuous
c. Positively Skewed
d. Negatively Skewed
2.
Which of the following statements is correct regarding the standard
normal distribution?
a. It is also called the z distribution
b. Any

DISCUSSION 6
In the following multiple-choice questions, please indicate the correct answer.
1.
Correlation analysis is used to determine:
a. the strength of the relationship between x and y
b. the least squares estimates of the regression parameters
c. t

DISCUSSION 6
In the following multiple-choice questions, please indicate the correct answer.
1.
Correlation analysis is used to determine:
a. the strength of the relationship between x and y
b. the least squares estimates of the regression parameters
c. t

324 Stat
Lecture Notes
(7 One- and Two-Sample
Estimation Problem )
( Book*: Chapter 8 ,pg265)
Probability& Statistics for Engineers & Scientists
By Walpole, Myers, Myers, Ye
Estimation
Point estimate:
Interval estimate
Is a single numerical value to es

Some Continuous
Probability
Distributions
6.1 Continuous Uniform
Distribution
One of the simplest continuous distributions in all of statistics is the continuous
uniform distribution. This distribution is characterized by a density function
that is flat,

Question No. 1:
Suppose a fair die is thrown twice, then
(1) the probability that the sum of numbers
of two dice is leas than or equal to 4 is;
(A) 0.1667
(B) 0.6667
(C) 0.8333
(D) 0.1389
(2) the probability that at least one of the
die shows 4 is;
(A) 0

Question No. 1:
400 people are classified according to their
monthly salary as follows:
No.
People
Mo nthly salary
(L) Less than 3000
50
(B) Between 3000
200
and 8000
(M) More than 8000
150
The percentage of male in each salary
group are 40%, 60% and 80%

Stat 324 first Midterm Exam : Semester 1
1428 1429
Question No. 1:
Suppose a fair die is thrown twice, then
(1) the probability that the sum of numbers
of two dice is leas than or equal to 4 is;
(A) 0.1667
(B) 0.6667
(C) 0.8333
(D) 0.1389
(2) the probabil

Question No. 1:
Suppose that the experiment is to
randomly select with replacement 2
children and register their gender (B=boy,
G=girl) from a family having 2 boys and 6
girls.
(1) The number of outcomes (elements of
the sample space) of this experiment

Question No. 1:
Suppose that the discrete random variable
X has the following probability function:
f(1)=0.05, f(0)=0.25, f(1)=0.25,
f(2)=0.45, then:
(1) P(X<1) equals to
(A) 0.30
(B) 0.05
(C) 0.55
(D) 0.50
(A)
(B)
(C)
(D)
40
20
30
90
(8) Var(2X3Y10) equ

Department of Statistics and Operations Research
College of Science
King Saud University
Second-term 1424/1425
First Mid-term Exam
Probability and Statistics for Engineering
Time: 2 hours
Total 30 Marks
. :
Student name:
Student number:
Serial number (
)

Question No. 1:
Suppose that the experiment is to
randomly select with replacement 2
children and register their gender (B=boy,
G=girl) from a family having 2 boys and 6
girls.
(1) The number of outcomes (elements of
the sample space) of this experiment