1. Solve the following system of equations 3x-2y+3z=8 2x+y-z=1 4x-3y+2z=4 2. A distribution is negatively skewed with the coefficient of skewness as -2.9. The value of mean and mode are 125 and 138, respectively. Find the variance of the distribution. 3. A doctor is to visit a patient. From the past experience, it is known that the probabilities that he will come by train, bus, scooter or by other means of transport are respectively 3/10, 1/5, 1/10 and 2/5. The probabilities that he will be late are ¼, 1/3 and 1/12, if he comes by train, bus and scooter respectively, but if he comes … [Read more...]
MS 8 IGNOU MBA Assignments July – Dec 2018
1. A manufacturer produces three products A, B and C which he sells in the market. Annual sale estimates (in units) are indicated as follows: Markets Products A B C I 8,000 10,000 15,000 II 10,000 2,000 20,000 (i) If unit sale prices of A, B and C are Rs 2.25, Rs 1.50 and Rs. 1.75 respectively, find the total revenue in each market with the help of matrices, (ii) If the unit costs of the above three products are Rs 1.60, Rs. 1.20 and Re 0.90 respectively, find the gross profit with the help of matrices. 2. Calculate the mean deviation from … [Read more...]
MS 8 IGNOU MBA Assignments Jan – Jun 2017
1. The net incomes of a sample of large importers of antiques were organized into the following table: Net Income ($ millions) Number of Importers 2 up to 6 1 6 up to 10 4 10 up to 14 10 14 up to 18 3 18 up to 22 2 (a) What is the table called? (b) Based on the distribution, what is the estimate of the arithmetic mean net income? (c) Based on the distribution, what is the estimate of the standard deviation? 2. The employees of Cartwright Manufacturing are awarded efficiency ratings based on such factors as monthly output, attitude, and … [Read more...]
MS 8 IGNOU MBA Assignments July – Dec 2016
1. Explain the Gauss – Jordan Method for solving a system of linear simultaneous equation with the help of an example. 2. Coefficients of variation of two series are 75 percent and 90 percent, with standard deviations 15 and 18, respectively. a) Obtain the mean of the two series, b) Also comment which of the two is better represented by its mean. 3. Bottled sweet milk stored in a godown is reported to have gone sour. A test check revealed that milk in 25 percent of the bottles is unfit for consumption. The salesman at a retail outlet offers 5 bottles for sale on demand, find the … [Read more...]
MS 8 IGNOU MBA Assignments Jan – June 2016
1. Explain the concept of Maxima & Minima and discuss its managerial applications. 2. The average sales of a product for a particular week, excluding Sunday, were reported by the city departmental store as 150 units. Sunday being a national festival, there was heavy rush of sales which inflated average sales for the entire week to 210 units. Find the sales for Sunday. 3. A box contains 2 red, 3 black, and 5 white balls. If 3 balls are drawn at random without replacement, find the probabilities that a) all 3 are black, b) two are red and one black, c) at least one is white. 4. A … [Read more...]
MS 8 IGNOU MBA Assignments Jan-June 2015
1. Calculate mean, median and mode from the following data relating to production of a steel mill on 60 days. Production (in Tons per day) 21-22 23-24 25-26 27-28 29-30 Number of Days 7 13 22 10 8 2. In an automobile, the shaft (it converts translatory motion to rotatory motion) can fail either due to failure of bearing or failure of slider crankshaft mechanism. The probabilities of failure of bearing and crankshaft are 0.2 and 0.3, respectively, and the probabilities of failure of shaft due to failure of bearing and due to failure of crankshaft are 0.5 and 0.6, … [Read more...]
MS 8 IGNOU MBA Assignments Jan – June 2014
1. The distribution of Intelligence Quotient (I.Q.) scores measured for 100 students in a test is as follows: I.Q.* 40-50 50-60 60-70 70-80 80-90 90-100 Number of Students 10 20 20 15 15 20 * The data is recorded with origin as 40, i.e. students with I.Q. between 80 and 90 are included in the first interval. The intervals included the upper class value but not the lower. Find: Arithmetic Mean, Median, First and Third Quartiles, 90th percentile and 6th Decile. 2. A candidate is selected for interview … [Read more...]
MS 8 IGNOU MBA Assignment July – Dec 2013
1. “Statistical unit is necessary not only for the collection of data, but also for the interpretation and presentation”. Explain the statement. 2. Find the standard deviation and coefficient of skewness for the following distribution Variable 0-5 5-10 10-15 15-20 20-25 25-30 30-35 35-40 Frequency 2 5 7 13 21 16 8 3 3. A salesman has a 60% chance of making a sale to any one customer. The behaviour of successive customers is independent. If two customers A and B enter, what is the probability that the salesman will make a sale to A or B. 4. To verify … [Read more...]
MS 08 June 2013 Quantitative Analysis for Managerial Applications
1. A sum of `8550 is to be paid in 15 installments where each installment is `10 more than the previous installment. Find the first installment and the last installment. 2. A salesman is known to sell a product in 3 out of 5 attempts. While another salesman in 2 out of 5 attempts. Find the probability that a. No sales will happen b. Either of them will succeed in selling the product 3. A hundred squash balls are tested by dropping from a height of 100 inches and measuring the height of the bounce. A ball is “fast” if it rises above 32 inches. The average height of bounce was 30 inches … [Read more...]
MS-08 Dec 2012 Quantitative Analysis for Managerial Applications
1. A tour operator charges Rs 136 per passenger for 100 passengers with a discount of Rs 4 each for 10 passengers in excess of 100. Determine the number of passengers that will maximize the amount of money the tour operator receives. 2. Calculate Bowley’s coefficient of skewness (based on quartiles) from the following data Weight (lbs) No. of students Weight (lbs) No. of … [Read more...]