52411202: Business Mathematics and Statistics – B.Com 2nd Year Annual Solved Assignment 2020

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Bachelor of Commerce – B.Com Second Year Solved Assignments for 2020 Annual Examinations

BCOM Part 2 Solved Assignment

Code : 52411202
Course Title : Business Mathematics and Statistics

Following are the questions of 52411202: Business Mathematics and Statistics of SOL – BCOM Assignment for 2020 Annual Examinations. To download answers of all the questions of this assignment in English click on the question, subject to availability of answer, you can view or download the answer there.

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Question 1. (a)An amount of Rs. 65,000 is invested in three investments at the rate of 6%, 8% and 9% per annum, respectively. The total annual income is Rs. 4,800. The income from the third investment is Rs. 600 more than the income from second investment. Using matrix algebra, determine the amount of each investment.
Question 1. (b)A tour operator charges Rs. 200 per passenger for 50 passengers with a discount of Rs. 5 for each 10 passenger in excess of 50. Determine the number of passengers that will maximize the revenue of the operator.
Question 1. (c)Which is better investment 8% compounded half-yearly or 7.9% compounded monthly?
Question 2. (a)Discuss the considerations that determine the selection of a suitable average. Explain by giving one example of each case.
Question 2. (b)The average rainfall for a week, excluding Sunday, was 10 cms. Due to heavy rainfall on Sunday, the average for the week rose to 15 cms. How much rainfall was on Sunday?
Question 2. (c)For a moderately skewed distribution, the median price of men’s shoes is Rs. 380 and modal price is Rs. 350. Calculate mean price of shoes.
Question 3. (a)The mean and standard deviations of two brands of light bulbs are given below:

Calculate a measure of relative dispersion for the two brands and interpret the result.
Question 3. (b)Calculate the Karl Pearson’s coefficient of correlation from the following pairs of values and interpret the result:

Question 3. (c)Show that the coefficient of correlation is the geometric mean of the two regression coefficients.
Question 3. (d)The two regression coefficients are 1.5 and 0.6 and the coefficient of correlation is 0.90. Comment.
Question 4. (a)From the following data, prove that Fisher Ideal Index satisfies both the time reversal and the factor reversal tests:

Question 4. (b)Fit a straight line trend to the following data and estimate the expected profit for the year 2020. What is the average annual change in profit?