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B.Com Part I Business Math Guess paper Statistics 2011
B.Com Part I Business Math Guess paper Statistics 2011 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 yintercept 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) 2At3Bt 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 AAI SECTION B Q.4. The following data shows the life records in weeks of 140 batteries Life in Weeks ..  2125  2630  3135  3640  4145  4650 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 Coefficient of Corelation & Coefficient of Determination (b) Find regression line X on Y Q.6. Construct Fishers 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) 