F-2,Block, Amity CampusSec-125, Nodia (UP)

India 201303ASSIGNMENTS

PROGRAM:SEMESTER-ISubject Name :Study COUNTRY :Permanent Enrollment Number (PEN) :Roll Number :Student Name :

INSTRUCTIONSa) Students are required to submit all three assignment sets.

ASSIGNMENT DETAILS MARKSAssignment A Five Subjective Questions 10Assignment B Three Subjective Questions + Case Study 10Assignment C 45 Objective Questions 10

b) Total weightage given to these assignments is 30%. OR 30 Marksc) All assignments are to be completed as typed in word/pdf.d) All questions are required to be attempted.e) 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 submittedAssignment ‘A’ Assignment ‘B’ Assignment ‘C’

Basic MathematicsAssignment – 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 16100-110 20110-120 22120-130 25130-140 10140-150 4150-160 3

Calculate :a) Meanb) Medianc) Standard deviationd) 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 JANE

A 4 4B 2 1C 1 2D 3 3E 7 8F 8 7G 6 5H 5 6I 9 9J 10 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 45 41 45 45 30 39 8 48 2526 9 23 24 26 29 8 40 41 4239 35 18 25 35 40 42 43 44 3627 32 28 27 25 26 38 37 36 3532 28 40 41 43 44 45 40 39 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 100 101 103 102 104 99 97 98 96 96COST OF LIVING 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.

Firm A Firm BNumber of wage earners 550 650Average daily workers 100 95Variance of the distribution of wages 90 120

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 of the following statements are true?i) {a, b, c } = {c, b, a }ii) Every subset of an infinite set is infiniteiii) 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 thumbii) 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 Aiii) A = Biv) 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) Øii) { 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 limitiii)Lower & highest values that can be included in a classiv) Value lying halfway between lower and upper class limits

8. Histogram is also calledi) Bar chartii) Column designiii) Pie diagramiv) Ogives

9. Which one is not the way of presenting frequency distribution graphically:i) Histogramii) Frequency polygoniii) Smoothed frequency curveiv) 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 limitiii) Lower & highest values that can be included in a classiv) Value lying halfway between lower and upper class limit

11. Class limiti) Number of observations corresponding to particular class.ii) The span of a class i.e the difference between upper limit and lower limitiii) Lower & highest values that can be included in a classiv)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 bei) Universal setii) Disjoint setiii) Finite setiv) Infinite set

13. If first and third quartiles are 20 and 40 respectively, then the median will bei)) 20ii) 30iii) 40iv) 10

14. If the daily wages of men and women are Rs. 100 & Rs. 90, the average wage per worker would be Rs.i) 80ii) 90iii) 100iv) 70

15. The mode of a distribution will be less than the arithmetic mean.i) Yesii) No

16. Which is the best measure of central tendency?i) Meanii) Modeiii) Medianiv) 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 correcti) A U Ø = Ac

ii) A U Ø = Uiii) A U Ø = Øiv) A U Ø = A

19. Which of the following are propositions? Give the truth value of the propositionsi) 4-1=3ii) Toronto is in Canadaiii) what are you doing?iv) what is the sum of two odd numbers

20. For two statements P and Q, implication impliesi) if not P then not Qii) if Q then Piii) if not Q then not Piv) if P then Q

21.A semigroup with an identity element, is calledi) Cyclic groupii)Monoid

iii)Groupiv)Groupoid

22. De Morgan's Laws state that (p ^ q) is logically equivalent to p V qi) Trueii) Falseiii) Not always true iv) Depends on the variable value

23. Histograms can be constructed fori) Discrete dataii) Continuous dataiii) Bothiv) 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) 1400ii) 1500iii) 300iv)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) 18.5ii) 17iii) 18iv)17.5

39. Which one is not the Measures of Dispersioni)Rangeii)Mean deviationiii)Histogramiv)Standard deviation

40. Calculate Range from following data30 45 60 95i) 45, 60ii) 30, 95iii) 30, 45iv) 60, 95