B.Com I Business Math & Statistics 2010
B.Com I Business Math & Statistics 2010
NOTE: Attempt any TWO questions from each section.
SECTION “A”
Q.1. (a) Solve by Q.D. Formula
Q.1. (b) Find out dy/dx of the following.
Q.2. (a) Find the equation of straight line passing through the point (4,5) and (1/2, 7/4) also write slope and y-intercept of the line.
Q.2. (b) If 2 …. 3 …. 4 and 5 …. 6
…………. 1 …. 2 …. 5 …. 7 …. 8
…………………………….. 2 …. 3
then find (i) AxB, (ii) BxA, (iii) A + Bt, (iv) 2At-3Bt
Q.3. (a) Find maxima and minima of the function.
Q.3. (b) Solve by Cramer Rules.
Q.3. (c) Find the inverse of the Matrix A = 3 …. 5
………………………………………………. 2 …. 4
Also find AA-I
SECTION “B”
Q.4. The following data shows the life records in weeks of 140 batteries
Life in Weeks .. | 21-25 | 26-30 | 31-35 | 36-40 | 41-45 | 46-50
No of Batteries | 15 | 18 | 34 | 27 | 26 | 20|
Find:
i. Mean
ii. Median
iii. Mode
iv. Mean absolute deviation from mean
v. Standard Deviation
Q.5. The following data shows the life records in weeks of 140 batteries.
Life in Weeks .. | 25 | 30 | 35 | 40 | 25 | 10
No of Batteries | 15 | 18 | 34 | 27 | 26 | 20
(a) Find Co-efficient of Corelation & Coefficient of Determination
(b) Find regression line X on Y
Q.6. Construct Fisher’s Price Index Number
MILLS | 1999 Price | 2000 Price | 1999 Quantity | 2000 Quantity
AA …. | ….. 64 … | …… 84 … | ……. 270 ….. | …….. 320….
BB …. | ….. 48 … | …… 65 … | ……. 120 ….. | …….. 210….
CC …. | ….. 30 … | …… 95 … | ……. 140 ….. | …….. 120….
SECTION “C”
Q.7. (a) How many permutation of letters can be made from the word “Preposition”.
Q.7. (b) Four playing cards are drawn from a pack of 52 cards, find out the probability of getting three Kings and one Queen.
Q.8. (a) Draw all the possible sample of size 3 without replacement from the population 3, 6, 8, 12 and 9.
Q.8. (b) Show that mean of all sample means is equal to the population means.
Q.9 and Q.10. Prepare from Chapter Hypothesis and Estimation. (1st Three Cases)
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