Punjab Technical University 2008 B.B.A Quantitative Techniques - Question Paper

Roll No__________ Total no of Pages:4

1027
Quantitative Techniques
B.B.A-1st Semester (2096)
2K3 & 2K5

Time: three Hours Max Marks:75

Note: 1. Part A is compulsory and have 15 short ans ques. of two marks every.
2. Part B have 12 long ans ques. of five marks each, out of which candidate have to attempt 9 ques..

SECTION A
1. (a) Discuss role of mathematics in Business dicisions.
(b) Discuss comliment of a set.
(c) Find the sum of 3+6+9+12………..to 20 terms.
(d) What is principle of mathematical induction.
(e) Discuss inverse of a matrix.
(f) Discuss the advantage of graphic representation of statistical data.
(g) Discuss merits and demerits of mean, median, and mode.
(h) Differentiate ranging from correlation and regression.
(i) Discuss the properties of correlation coefficient.
(j) Discuss the usefulness of regression in dealing with business issues.
(k) Explain cyclical variations in time series analysis.
(l) What do you mean by cost of residing index.
(m) What is Baye’s Theorem.
(n) Comment on the following:
For a set of 10 observations mean =5, and
standard deviation= two and
coefficient of Variations =60%
(o) Write note on theory of estimation.
Section – B
1. Solve the subsequent equations using matrices:
2x-3y=3
4x-y=11
2. Calculate mean and median of the following:
1,5,10,2,4,19,3,14,15,25
3. obtain the sum of all natural numbers ranging from 200 and 400 which are divisible by 7.
4. compute Standard deviation and variance from the subsequent data:
Age : 20-25 25-30 30-35 35-40 40-45 45-50
No. of persons 170 110 80 45 40 35
5. compute Karl Pearson’s coefficient of correlation from the subsequent data:

X : 1 2 14 15 8
Y : 8 11 18 28 7
6. Obtain the equations of the 2 lines of regression for the data provided below:
X : 3 5 6 8 9 11
Y : 2 3 4 6 5 8
7. What is a time series. elaborate its main components. provide illustration for every of them.
8. Calculate pattern values using 3 yearly moving avg. for the subsequent data:
Year: 1950 1951 1952 1953 1954 1955 1956 1957 1958 1959 1960
X : 500 540 550 530 520 560 600 640 620 610 640
9. What is an index number? discuss the different issues involved in the construction of index number.
10. Six persons toss a coin turn by turn. The game is won by the player who 1st throws head. obtain the probability of success, of the 4th player.
11. State the distinctive features of the normal probability distribution.
12. Explain testing of hypothesis. How is it useful in business?

Earning:   Approval pending.