Kingdom of Saudi Arabia
Ministry of Higher Education
Majmaah University
Vice rectorate for Academic Affairs
Measurement & Assessments Administration
The MidTerm Exam of the Second Semester 1435 / 1436 H
College of Science in Zulfi
Program: B. Sc
Course Name: Statistical Physics
Course Code: PHYS 342
Section: 482+518
Date: 24/05/1436
Duration: 1.5 hour
The student's name: …………………………………………….
University ID:…………………………………………………….
6th level / 3rd year
Number of pages: 4
Examination Guidelines
1- Type your name and university identification number clearly in the space provided.
2- Use blue or black pen in answer and pencil in drawing.
3- Books or notes, papers and publications are not allowed into the examination room.
4- Students are not allowed to get out from the examination room before passing 30
minutes from the beginning of test starting.
Learning Outcomes
Communication,
Interpersonal skills
The Knowledge
information
Psychomotor
Cognitive skills
and taking
Skills
technology and
skills
responsibility
numerical skills
a
b
c
d
e
Grades
Learning
Faculty member
Corrector 1
Corrector 2
Question
outcome
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1
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Review Committee
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2
Name
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3
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4
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5
Signature
Final grade...…../….......
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Kingdom of Saudi Arabia
Ministry of Higher Education
Majmaah University
Vice rectorate for Academic Affairs
Measurement & Assessments Administration
Exercise 1 (3 Marks) Random variable
Let X be a discrete random variable. Let its support RX and its probability mass
distribution P(X) given by:
RX  0 , 1, 2 , 3, 4 , 5 , 6 
1
7

P(x)  
0


if x  R X
if x  R X
Calculate: P( 1  X  5 )
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Exercise 2 (7 Marks) Uniform Probability
Consider the following probability density function:
 1
2 c

P(x)  
0


- c  x  c where c is a constant
otherwise
1) Calculate the characteristic function, the expectation value, the variance and
the standard deviation
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Kingdom of Saudi Arabia
Ministry of Higher Education
Majmaah University
Vice rectorate for Academic Affairs
Measurement & Assessments Administration
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Exercise 3 (10 Marks) Binomial distribution
Consider the binomial distribution given by:
P(x  k)  Cnk p k q nk
where : n : the total number of exp eriences
k : the number of successes experiences
p : the probability of success
q : the probability of failed
In our cases, suppose you independently throw a dart 6 times. Each time you throw a
dart, the probability of hitting the target is 3/4 .
1) Determine the following parameters: n, p and q in our case
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2) Calculate the mean value, the variance and deduce the standard deviation.
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3) Calculate the probability of hitting the target exactly 4 times
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Kingdom of Saudi Arabia
Ministry of Higher Education
Majmaah University
Vice rectorate for Academic Affairs
Measurement & Assessments Administration
4) Calculate the probability of hitting the target less than 2 times
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