Note: i) Attempt TWO Questions in all, by selecting ONE question from each section. ii) FOUR marks are reserved for PRACTICAL NOTE BOOK and FIVE for VIVA VOCE.

Section-A

1. The following are the prices of 5 commodities for the years 1946 to 1953.

Year Commodities
A B C D E
1946 87.25 66 18.50 21.12 42.12
1947 82.50 69 19.25 25.12 45.37
1948 82.37 54 17.75 18.12 50.12
1949 81.87 78 18.12 15.12 60.19
1950 82.50 69 19.13 20.50 65.25
1951 83.75 81 20.37 25.25 55.12
1952 89.50 85 24.37 26.12 66.50
1953 95.00 102 22.50 26.25 70.31

Construct Price Index Number by chain base method taking 1946 as base and using geometric mean as average.

2. Compute Seasonal indices by link relative method using median as average Also deseasonalize the data for 3rd week. 7+1

Week Days
Sat. Sun Mon. Tue. Wed. Thur.
1 128 95 89 75 82 107
2 137 98 85 79 80 105
3 130 96 87 78 85 108
4 132 100 88 80 84 110
5 135 102 90 82 86 112
6 136 103 92 80 89 115

Section-B

3. From a well shuffled ordinary deck of 52 playing cards, 13 cards are selected without replacement.Determine probability distribution of number of heart cards. Find mean and variance of this distribution. Verify that:

nK nK N-n)

N-K)

N N

i)e(x)= ii)Var(x)= K 4,2, 2

K

N N N-1

N (

(

4. Fit a poisson distribution to the data given below:

Mistake per Page 0 1 2 3 4 5 6 7 8 9 10 11
No. of Pages 1006 2098 292 97 56 27 16 13 12 11 9 7

*** B.A/B.Sc-I (09/A) P-vi***