Madurai Kamraj University (MKU) 2007 B.B.A Business stastics and mathematics - Question Paper

Business stastics and mathematics

13. (a) Find [1 2 3]

4 2

1 -1

7 2

'8'

6

4

O'

3

1

(b) Find the inverse of A.

4 0 2

2 10 1 3 9 1

1213/BB2    MAY 2007

' \

BUSINESS STATISTICS AND MATHEMATICS

(For those who joined in July 2003 and after)

Time : Three hours    Maximum : 100 marks

SECTION A (4 x 10 = 40 marks)

Answer any FOUR questions.

All questions carry equal marks.

1.    Explain the application of Statistics in business.

2.    Calculate the arithmetic mean, median and mode from the following data :

Value (more than): 0 50 100 150 200 250 Frequency:    83 75 60 30 13 4

3.    Distinguish between population and sample. Explain the various methods of sampling.

4.    From the following data on daily sales of TV sets, calculate variance.

No. of TV sets: 5 7 10 11 15 25 30 No. of days: 1 3 7 6 5 2 1

5. Find Rank correlation.

Marks X: 15 20 28 12 40 60 20 80 Marks Y: 40 30 50 30 20 10 30 60

6.    What are the three types of distribution? Explain each of them.

7.    Compute (a) Laspeyres (b) Paasches and

(c) Fishers index number.

Item    Price    Quantity

	Base	Current	Base	Current
	year	year	year	year
A	6	10	50	50
B	2	2	100	120
C	4	6	60	60
D	10	12	30	25
	SECTION B -	- (3 x 20 =	60 marks)

Answer any THREE questions.

8. (a) What are the steps of Statistics?

(b) Calculate mean* median and mode.

Marks No. of students below 10    3

below 20    8

below 30    17

below 40    20

below 50    22

9.    (a) Find the second derivative of (2x -7)⁴ and its value when x = 5 .

(b) Ify = (4x¹-x)(7x²+6x + 3)e^x,fmd

ax

10.    (a) Prove that flr = log 2.

jl + x 2

(b) Solve jx² e^x dx by integration by parts.

11.    (a) The cost function of an item is given by C = 36* -10 x² + 2 x³ . Find the minimum average cost.

(b) Find the relative maxima and minimum of

x³ -x² -12x-6.

2

12.    (a) Explain the term Break Event Point theory. How does it help in equipment replacement decision?

(b) The marginal cost function for producing x units is y = 23 +16 x - 3 x² and the total cost for producing 1 unit is 40. Obtain the total cost function and the average cost function.

3    1213/BB2

1

Attachment: madurai-kamraj-university--mku--2007-b-b-a-21659-1.pdf

Earning:   Approval pending.