## Sunday, March 21, 2021

• Sunday, March 21, 2021
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Paper: BBAS-102

Time Allowed: Three Hours Maximum Marks : 80

Note :-(1) Attempt any FOUR questions from Section-A Each question carries 5 marks.

(2) Attempt any TWO questions each from Sections B and C. Each question carries 15 marks.

SECTION-A

1. Discuss importance of time series.

2. The rank correlation coefficient between the marks obtained by 10 students in mathematics and economics are found to be 0.5. Find the sum of squares of difference of ranks.

3. A die is thrown. Let E be the event the number appearing is a multiple of 3' and F be the event the number appearing is even'. Find whether E and F are independent.

4. What is the difference between Spearman's and Karl Pearson's coefficient of correlation?

5. The mean and variance of 8 observations are 9 and 9.25 respectively. If the size of six observations is 6, 7, 10, 12, 12 and 13, find the remaining 2 observations.

2000 2008

Item Unit Price Value Quantity Value

A Kg             10 1500     160 1760

B Kg             12 1080     100 1300

C Meter             15 900     60 960

D Pockets             9         450     40 480

12. Compute the trend values on the method of least square from the data given below:

Year No. of Sheep (in lakhs)

1992 56

1993 55

1994 51

1995 47

1996 42

1997 38

1998 33

1999 32

13. (a) Four cards drawn from a pack of 52 playing cards. Find the probability of:

(i) All are diamonds

(ii) There is one card of each suit

(iii) There are two spades and two hearts.

(b) Pair of dice is thrown 4 times. If a doublet is considered a success, find the probability of 2 successes.

14. Explain clearly the meaning of Time Series Analysis. Indicate the importance of such analysis in business.