Statistics for Business Economics – I — DU B.A. (Hons.) Business Economics (BBE) Previous Year Question Papers

Statistics for Business Economics - I B.A. (Hons.) Business Economics (2025) 3. Choice is available within each question. 5. Required statistical tables are attached with this paper. (a) The Land holding data of 325 farmers surveyed in a district in India has the following distribution : Land holding ®a) 0-<2 2-4 4 -<10 10 -<20 20 -€0 30 - <42 (i) Construct a histogram corresponding to this frequency distribution and comment on the shape of the distribution. (ii) What proportions of farmers have land holdings less than 24 ha? (b) Given the following data : Determine the values of the sample mean, sample median, and 12.5% trimmed mean, and compare these values. (c) The given data consists of marks obtained by the students of JLN University in Physics in Semester I. (i) Construct a boxplot for the given data and comment on its features. (ii) How large or small does an observation have to be to qualify as an outlier? Are there any outliers in the sample? Any extreme outliers? (d) (i) From a moderately skewed distribution of retail prices for men's shirts, it is found that the mean price is Rs. 250 and the median price is Rs.190. If the coefficient of variation is 300/o, find the Pearsonian coefficient of skewness of the distribution. (fi) Weekly average wages of workers in a factory increase from Rs. 800 to Rs.1200 and standard deviation increases from Rs.100 to Rs. 500. Comment on the resulting wage structure. (a) (i) Disks ofpolycarbonate plastic from a supplier are analyzed for scratch and shock resistance. The results from 100 disks are summarized below : Shock resistance Hich Low Let A denote the event that a disk has high shock resistance, and let 8 denote the event that a disk has high scratch resistance. If a disk is selected at random, calculate : (ii) A company produces light bulbs at three factories A, 8, C. Factory A produces 40 percent of the total number of bulbs, of which 2 percent are defective. Factory 8 produces 35 percent of the total number of bulbs, of which 4 percent are defective. Factory C produces 25 percent of the total number of bulbs, of which 3 percent are defective. If a defective bulb is found among the total output, find the probability that it carne from: (a) factory A, (b) factory 8. (b) (i) The random variable x has the following probability distribution : (ii) The tensile strength of paper is modeled by a normal distribution with a mean of 35 pounds per square inch and a standard deviation of 2 pounds per square inch. (a) What is the probability that the strength of a sample is less than (b) If the specifications require the tensile strength to exceed 30 lb/ in2, what proportion of the samples is scrapped? (c) (i) The shelf life (in hours) of a certain perishable packaged food is a random variable whose probability density function is given by r20 (a) Calculate the value of K. (b) Find the probability that the packaged food will have a shelf life between 80 to 120 hours.