Course Code : MS-8 Course Title: Quantitative Analysis for Managerial Applications Assignment No. : MS-8/TMA/Sem-II/2020 1. The prices (in Rs.) of three X, Y and Z are x, y and z per unit respectively. A purchases 4 units of Z and sells 3 units of X and 5 units of Y. B purchases 3 units of Y and sells 2 units of X and 1 Unit of Z. C purchases 1 unit of X and sells 4 Units of Y and 6 units of Z. In the process A, B and C earn Rs. 6000, Rs. 5000 and Rs. 13000 respectively. Using matrics, find the prices per unit of three commodities. 2. Calculate Quartile derivation. Monthly Wages (Rs.) No. of Workers Below 850 12 850-900 16 900-950 39 950-1000 56 1000-1050 62 1050-1100 75 1100-1150 30 1150 and above 10 3. Four Cards are drawn at random from a well shuffled pack of 52 cards, find the probability that (i) They are a king, a queen, a jack and an ace, (ii) Two are king and two are queens, (iii) Two are black and two are red, (iv) They should be one from each suit. 4. Based on a nationwide poll, a seller of printed advertisements estimates that 56% of all adults usually open all the mail they receive. If this is still the current rate at which adults open mail, what is the probability that in a random sample of 1000 adults, the number who usually open all of their mail will be (a) Less than 541 (b) 570 or more? 5. Write short note on any three of the following: a) Poisson Distribution. b) Purposive Sampling. c) Geometric Mean. d) Rank Correction. e) Advantages of Quantitative Approach of Management.