Download `A` Assignment `B`

F-2,Block, Amity Campus
Sec-125, Nodia (UP)
India 201303
ASSIGNMENTS
PROGRAM:
SEMESTER-I
Subject Name
Study COUNTRY
Permanent Enrollment Number (PEN)
Roll Number
Student Name
:
:
:
:
:
INSTRUCTIONS
a) Students are required to submit all three assignment sets.
ASSIGNMENT
Assignment A
Assignment B
Assignment C
DETAILS
Five Subjective Questions
Three Subjective Questions + Case Study
45 Objective Questions
MARKS
10
10
10
b)
c)
d)
e)
Total weightage given to these assignments is 30%. OR 30 Marks
All assignments are to be completed as typed in word/pdf.
All questions are required to be attempted.
All the three assignments are to be completed by due dates (specified
from time to time) and need to be submitted for evaluation by Amity
University.
f) The evaluated assignment marks will be made available within six
weeks. Thereafter, these will be destroyed at the end of each semester.
g) The students have to attached a scan signature in the form.
Signature
:
_________________________________
Date
:
_________________________________
( √ ) Tick mark in front of the assignments submitted
Assignment ‘A’
Assignment ‘B’
Assignment ‘C’
Basic Mathematics
Assignment – A
Ques 1. “Quantitative tools & techniques are basically important for improving the
quality of managerial decisions”. Examine the statement & discuss the role of
quantitative techniques in planning & control of business activity.
Ques 2. A Pathology lab provides the following details of blood test carried out on
100 patients for diabetes:
BLOOD
SUGAR
LEVEL
90-100
16
100-110
20
110-120
22
120-130
25
130-140
10
140-150
4
150-160
3
Calculate :
a) Mean
b) Median
c) Standard deviation
d) Coefficient of variation
Ques3. Two housewives Samantha and Jane asked to express their preference
for different kinds of detergents, gave the following replies:
DETERGENT SAMANTHA
A
4
B
2
C
1
D
3
E
7
F
8
G
6
H
5
I
9
J
10
JANE
4
1
2
3
8
7
5
6
9
10
To what extent the preference of these two ladies go together?
Ques 4. In a survey concerning the smoking habits of consumers, it was found
that 55% smoke cigarette A, 50% smoke B, 42% smoke C, 28% smoke A & B,
20% smoke A & C, 12% smoke B & C, 10% smoke all three cigarettes
a) What percentage do not smoke?
b) What percentage smoke exactly two brands of cigarette?
Ques 5. “Diagrams do not add anything to the meaning of statistics but when
drawn and studied intelligently they bring to view the salient characteristics of
graph”. Explain
Assignment – B
Ques 1.
i)
Discuss the distinctive features of the Binomial, Poisson and Normal
Distribution. When does a binomial distribution tend to become a
normal distribution?
ii)
A box contains 10 white, 7 black and 3 green balls. 2 balls are drawn
at random. Find out the probability that: a) both are white
b) one is white and another is green
c) one is black and another is green
Ques 2. You have conducted a market survey with a sample size 50 regarding
the acceptability of a new product which your company wans to launch. The
scores of the respondents on the appropriate scale are as follows:
40
26
39
27
32
45
9
35
32
28
41
23
18
28
40
45
24
25
27
41
45
26
35
25
43
30
29
40
26
44
39
8
42
38
45
8
40
43
37
40
48
41
44
36
39
25
42
36
35
41
a) Prepare a frequency table.
b) Form a histogram, frequency polygon and frequency curve of the
frequency distribution
Ques 3. Find Karl Pearson’s coefficient of correlation from the following index
numbers and interpret it:
WAGES
COST OF
LIVING
100
101
103
102
104
99
97
98
96
96
98
99
99
97
95
2
95
94
90
91
CASE STUDY
Ques: There are 2 firms A & B belonging to the same industry .Firm A employs
550 workers and Firm B employs 650 workers.
Number of wage earners
Average daily workers
Variance of the distribution of wages
Firm A
550
100
90
Firm B
650
95
120
a) Which firm A & B pays out large amount as daily wages?
b) In which firm A & B is there greater variability in individual wages?
c) What are the measures of (i) average daily wages and (ii) standard
deviation in the distribution of individual wages of all workers in the two
firms taken together?
Assignment – C
1. Which
i)
ii)
iii)
of the following statements are true?
{a, b, c } = {c, b, a }
Every subset of an infinite set is infinite
The set { 1, 2, 3, 4 } has in all 32 subsets
2. Most of the business decisions can be made on the basic of
i) Rule of thumb
ii) Commonsense
iii) Snap judgment.
iv) Quantitative Techniques
3. Which of the following is not an equal set?
i)
A = {4, 3, 2, 1 } B= {1, 3, 2, 4 }
ii)
A ={ 2, 3 } , B = { 3, 2 }, C = { x:x2 – 5x – 6 =0 }
iii)
A = { 4, 5 ) B = { 5, 4 }
iv)
A = { 6, 7, 8 } B= { Six, seven, eight }
4. A = { x: x = 5n + 2, n € N }
B = { x: x = 5n - 3, n € N }
Find which of the following statement is correct & why?
i)
A
B
ii)
B
A
iii)
A=B
iv)
None of these
5. Find out which of the following sets are null , Singleton?
i)
A = { x : x2 = 11, x is an even integer}
ii)
B = { 0}
iii)
C = { x : x+ 6 = 6}
iv)
D = {x : x2 = 7, 3x = 5 }
6. Which of the following sets are different?
i)
Ø
ii)
{0}
iii)
{Ø}
7. Class frequency is:
i) Number of observations corresponding to particular class.
ii)The span of a class i.e the difference between upper limit and lower limit
iii)Lower & highest values that can be included in a class
iv) Value lying halfway between lower and upper class limits
8. Histogram is also called
i) Bar chart
ii) Column design
iii) Pie diagram
iv) Ogives
9. Which one is not the way of presenting frequency distribution graphically:
i) Histogram
ii) Frequency polygon
iii) Smoothed frequency curve
iv) Range chart
10. Class Interval is:
i) Number of observations corresponding to particular class.
ii) The span of a class i.e the difference between upper limit and lower limit
iii) Lower & highest values that can be included in a class
iv) Value lying halfway between lower and upper class limit
11. Class limit
i) Number of observations corresponding to particular class.
ii) The span of a class i.e the difference between upper limit and lower limit
iii) Lower & highest values that can be included in a class
iv)Value lying halfway between lower and upper class limit
12. If the intersection of two sets A and B is empty, the two sets are said to be
i) Universal set
ii) Disjoint set
iii) Finite set
iv) Infinite set
13. If first and third quartiles are 20 and 40 respectively, then the median will be
i)) 20
ii) 30
iii) 40
iv) 10
14. If the daily wages of men and women are Rs. 100 & Rs. 90, the average
wage per worker would be Rs.
i) 80
ii) 90
iii) 100
iv) 70
15. The mode of a distribution will be less than the arithmetic mean.
i) Yes
ii) No
16. Which is the best measure of central tendency?
i) Mean
ii) Mode
iii) Median
iv) Standard Deviation
17.The increase in the price of commodity X is 20%.then the price decreased
25% and again increased 15%. The resultant increase in the price is
i) 10%
ii) 20%
iii) 30%
iv) 25%
18. According to the Identity Laws,which one is correct
i) A U Ø = Ac
ii) A U Ø = U
iii) A U Ø = Ø
iv) A U Ø = A
19. Which of the following are propositions? Give the truth value of the
propositions
i) 4-1=3
ii) Toronto is in Canada
iii) what are you doing?
iv) what is the sum of two odd numbers
20. For two statements P and Q, implication implies
i) if not P then not Q
ii) if Q then P
iii) if not Q then not P
iv) if P then Q
21.A semigroup with an identity element, is called
i) Cyclic group
ii)Monoid
iii)Group
iv)Groupoid
22. De Morgan's Laws state that
(p ^ q) is logically equivalent to
pV q
i)
ii)
iii)
iv)
True
False
Not always true
Depends on the variable value
23. Histograms can be constructed for
i) Discrete data
ii) Continuous data
iii) Both
iv) None
24. At Sanjay Middle School, 3 out of 5 students make honor roll. What is the
probability that a student does not make honor roll?
i) 65%
ii) 40%
iii) 60%
iv) None of the above
25. In a class of 30 students, there are 17 girls and 13 boys. Five are A students,
and three of these students are girls. If a student is chosen at random, what is
the probability of choosing a girl or an A student?
i) 19/30
ii) 11/50
iii) 12/30
iv) 15/40
26. In a shipment of 100 laptops, 6 are defective. If a person buys two laptops
from that shipment, what is the probability that they are defective?
i) 3/100
ii) 1/330
iii) 9/2500
iv) 6/100
27.The range of the correlation coefficient is?
i) -1 to 0.
ii) 0 to 1.
iii) -1 to 1.
iv)None of the above.
28. By the Rank method the value of R is -0.73 it suggests a
i) fairly strong negative relationship
ii) fairly strong positive relationship
iii) Perfect negative
iv) Perfect positive
29. Quantitative analysis is also called
i) Operations research
ii) Management science
iii) Quantitative techniques
iv) All the above
30. Quantitative research provides the fundamental connection between
i) empirical observation and mathematical expression
ii) empirical observation and qualitative expression
iii) empirical observation and social expression
iv) empirical observation and all expression
31. In Normal Distribution 95% of the observations fall within 2 standard
deviations of the mean, that is, between
i) μ - σ and μ +σ
ii) μ - 2σ and μ +2σ
iii) μ - 3σ and μ +3σ
iv) Not defined
32. if it rains, a raincoat dealer can earn Rs. 5000 per day. If it is fair, he can lose
Rs.1000 per day. What is his expectation if the probability of rain is 0.4?
i) 1400
ii) 1500
iii) 300
iv)1450
33. Find the correlation coefficient r(X, Y) between X and Y,when
Cov(X,Y) = -2.45, Var (X) = 8.25 and Var (Y) = 21.49
i) 0.18
ii) – 0.18
iii) 0.36
iv) – 0.36
34. A coin is tossed 5 times. What is the probability of getting atleast 3 heads?
i) 1/2
ii) 1/3 .
iii) 1/4
iv) 1/5
35. Normal Distribution is symmetrical about its
i) Harmonic mean
ii) Mean
iii) Range
iv) Standard deviation
36. In Normal Distribution 95% of the observations fall within 2 standard
deviations of the mean, that is, between
i) μ - σ and μ +σ
ii) μ - 2σ and μ +2σ
iii) μ - 3σ and μ +3σ
iv) Not defined
37. Condition for the Applicability of Binomial Distribution:
i)There should be a finite number of trials.
ii) The trials do not depend on each other.
iii) Each trial should have only two possible outcomes, either a success or a
failure.
iv) All of the above
38. The given data shows the number of burgers sold at a bakery in the last 14
weeks.
17, 13, 18, 17, 13, 16, 18, 19, 17, 13, 16, 18, 20, 19
Find the median number of burgers sold.
i) 18.5
ii) 17
iii) 18
iv)17.5
39. Which one is not the Measures of Dispersion
i)Range
ii)Mean deviation
iii)Histogram
iv)Standard deviation
40. Calculate Range from following data
30 45 60 95
i) 45, 60
ii) 30, 95
iii) 30, 45
iv) 60, 95