Confirmed at the meeting of the department of
"Socio-Economic Disciplines"
Minute №____ from ____ of
2015.
The dean of the faculty "International
Educational Programs"
Ronald Voogdt
_____________
name
signature
EXAMINATION CARD № 1
Variant 1
on the discipline “QM2201 Quantitative methods”
for the 3nd year students
1. Discrete random variables. Examples.
2. Differentiation. Meaning. Examples.
3. Compute skewness
32,54, 88,27,99,99, 99, 103, 103,72,88,140,200
Lecturer N. Ussenbayev
______________________
_______________________________________________________________________________________
Confirmed at the meeting of the department of
"Socio-Economic Disciplines"
Minute №____ from ____ of
2015.
The dean of the faculty "International
Educational Programs"
Ronald Voogdt
_____________
name
signature
EXAMINATION CARD № 2
Variant 1
on the discipline “QM2201 Quantitative methods”
for the 3nd year students
1. Monte-Carlo methods. Advantages and Disadvantages.
2. Measures of central tendencies of the first order.
1. Differentiate 𝑦 = 3𝑥 2 − 2𝑒 𝑥 . What are extrema (min, max)?
Lecturer N. Ussenbayev
______________________
Confirmed at the meeting of the department of
"Socio-Economic Disciplines"
Minute №____ from ____ of
2015.
The dean of the faculty "International
Educational Programs"
Ronald Voogdt
_____________
name
signature
EXAMINATION CARD № 3
Variant 1
on the discipline “QM2201 Quantitative methods”
for the 3nd year students
1. 1. Continuous random variables. Examples.
2. Rules of matrix addition, multiplication. Examples.
3. Find the median, mode and standard deviation
32,54, 88,27,99,99, 99, 103, 103,72,88,140,200
Lecturer N. Ussenbayev
______________________
___________________________________________________________________________
Confirmed at the meeting of the department of
"Socio-Economic Disciplines"
Minute №____ from ____ of
2015.
The dean of the faculty "International
Educational Programs"
Ronald Voogdt
_____________
name
signature
EXAMINATION CARD № 4
Variant 1
on the discipline “QM2201 Quantitative methods”
for the 3nd year students
1. Probability distribution function. Normal distribution.
2. Finite-difference methods for derivatives. Examples.
3. Compute kurtosis
32,54, 88,27,99,99, 99, 103, 103,72,88,140,200
Lecturer N. Ussenbayev
______________________
Confirmed at the meeting of the department of
"Socio-Economic Disciplines"
Minute №____ from ____ of
2015.
The dean of the faculty "International
Educational Programs"
Ronald Voogdt
_____________
name
signature
EXAMINATION CARD № 5
Variant 1
on the discipline “QM2201 Quantitative methods”
for the 3nd year students
1.
2.
3.
Bayes theorem. Examples.
Central limit theorem.
There five red balls, five blue balls. If two balls are draw one by one in random without
replacement from bag, what is probability that drawing two red balls in a row.
Lecturer N. Ussenbayev
______________________
______________________________________________________________________________________
Confirmed at the meeting of the department of
"Socio-Economic Disciplines"
Minute №____ from ____ of
2015.
The dean of the faculty "International
Educational Programs"
Ronald Voogdt
_____________
name
signature
EXAMINATION CARD № 6
Variant 1
on the discipline “QM2201 Quantitative methods”
for the 3nd year students
1.
2.
3.
Measures of central tendency of the second order.
Chebychev’s inequality.
A sample was drawn from a normally distributed population of asset prices. The sample
mean was $50 and sample standard deviation was $5. The number of observations on
sample is 25. Consider the hypothesis structure as 𝐻0 : 𝜇 = $45 𝑣𝑒𝑟𝑠𝑢𝑠 𝐻𝑎 : 𝜇 ≠ $45 at a 1%
level of significance. What is the hypothesis testing conclusion?
Lecturer N. Ussenbayev
______________________
Confirmed at the meeting of the department of
"Socio-Economic Disciplines"
Minute №____ from ____ of
2015.
The dean of the faculty "International
Educational Programs"
Ronald Voogdt
_____________
name
signature
EXAMINATION CARD № 7
Variant 1
on the discipline “QM2201 Quantitative methods”
for the 3nd year students
1. Probability Distribution functions. T-distributions.
2. Linear programming.
3. A population has mean of 20 000 and standard deviation of 1 000. Samples size of n=2500 are
taken from this population. What is the standard error of the sample mean and what is 90%
confidence interval for sample mean?
Lecturer N. Ussenbayev
______________________
______________________________________________________________________________________
Confirmed at the meeting of the department of
"Socio-Economic Disciplines"
Minute №____ from ____ of
2015.
The dean of the faculty "International
Educational Programs"
Ronald Voogdt
_____________
name
signature
EXAMINATION CARD № 8
Variant 1
on the discipline “QM2201 Quantitative methods”
for the 3nd year students
1. Measures of central tendency of the second order.
2. Hypotheses testing.
3. Use the following joint probability distribution to answer the questions below
What is Expected value of Y? What is variance of X?
Lecturer N. Ussenbayev
______________________
Confirmed at the meeting of the department of
"Socio-Economic Disciplines"
Minute №____ from ____ of
2015.
The dean of the faculty "International
Educational Programs"
Ronald Voogdt
_____________
name
signature
EXAMINATION CARD № 9
Variant 1
on the discipline “QM2201 Quantitative methods”
for the 3nd year students
1. Z-values. Z-testing.
2. Measures of central tendencies of the third order.
3. Find solution
𝑍 = 11𝑥1 + 5𝑥2 → 𝑚𝑎𝑥
𝑥1 − 2𝑥2 ≤ 10
𝑥1 + 2𝑥2 ≤ 5
𝑥1 ≥ 0, 𝑥2 ≥ 0,
{ 𝑥1 , 𝑥2 ∈ 𝑍
Lecturer N. Ussenbayev
______________________
______________________________________________________________________________________
Confirmed at the meeting of the department of
"Socio-Economic Disciplines"
Minute №____ from ____ of
2015.
The dean of the faculty "International
Educational Programs"
Ronald Voogdt
_____________
name
signature
EXAMINATION CARD № 10
Variant 1
on the discipline “QM2201 Quantitative methods”
for the 3nd year students
1. Sampling distribution of the sample mean.
2. Linear combinations of random variables.
3. Suppose 20% of the employees company ABC have only a high school diploma; 60% have
bachelor degrees; and 20% have graduate degrees. Of those with only school diploma, 15%
hold management positions. Whereas of those having bachelor degrees, 30% hold
management positions. Finally 60% of the employees who have graduate degrees hold
management positions. Given that person holds a management position, what is probability
that she/he has graduate degree.
Lecturer N. Ussenbayev
______________________
Confirmed at the meeting of the department of
"Socio-Economic Disciplines"
Minute №____ from ____ of
2015.
The dean of the faculty "International
Educational Programs"
Ronald Voogdt
_____________
name
signature
EXAMINATION CARD № 11
Variant 1
on the discipline “QM2201 Quantitative methods”
for the 3nd year students
1. Confidence intervals.
2. Probability. Independent events. Mutual exclusive events. Conditional events.
3. A sample of paired points A and B is shown below. What are covariance and correlation
between values of A and B.
Lecturer N. Ussenbayev
______________________
_____________________________________________________________________________________
Confirmed at the meeting of the department of
"Socio-Economic Disciplines"
Minute №____ from ____ of
2015.
The dean of the faculty "International
Educational Programs"
Ronald Voogdt
_____________
name
EXAMINATION CARD № 12
Variant 1
on the discipline “QM2201 Quantitative methods”
for the 3nd year students
1. Probability Distribution functions: either Chi- or F-distribution
2. Interpolation and Extrapolation.
3. Find solution.
1
2 3 𝑥
0
(−4 5 8) (𝑦) = ( 7 )
2 −3 9 𝑧
−6
signature
Lecturer N. Ussenbayev
______________________
Confirmed at the meeting of the department of
"Socio-Economic Disciplines"
Minute №____ from ____ of
2015.
The dean of the faculty "International
Educational Programs"
Ronald Voogdt
_____________
name
signature
EXAMINATION CARD № 13
Variant 1
on the discipline “QM2201 Quantitative methods”
for the 3nd year students
1. Matrices. Properties.
2. Normal distribution.
3. Compute standard deviation.
32,54, 88,27,99,99, 99, 103, 103,72,88,140,200
Lecturer N. Ussenbayev
______________________
______________________________________________________________________________________
Confirmed at the meeting of the department of
"Socio-Economic Disciplines"
Minute №____ from ____ of
2015.
The dean of the faculty "International
Educational Programs"
Ronald Voogdt
_____________
name
signature
EXAMINATION CARD № 14
Variant 1
1. Matrices. Gauss elimination method.
2. Probability. Independent events. Mutual exclusive events. Conditional events.
3. Compute variance.
32,54, 88,27,99,99, 99, 103, 103,72,88,140,200
Lecturer N. Ussenbayev
______________________