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Note: Attempt all the questions.
Section – A
1 Show that the following data that Fisher’s ideal inde satisfies the Time Reversal Test and Factor Reversal Test:
2 For a Group of 50 male workers, the mean and standard deviation of their daily wages are Rs. 72 and Rs. 9 respectively. For another group of 40 female workers these are Rs. 54 and Rs. 6 respectively. Find the standard deviation for the combined group of 90 workers.
3 The data of advertisement ependiture () and sales (Y) of a company for 10 years shown in Table, determine the correlation coefficient between these variables.
4 Vidya’s savings account has a balance of Rs. 2,654.39. The annual interest rate is 3% compounded monthly. Find the original principal amount deposited two years ago.
5 A stereo manufacturer determines that in order to sell units of a new stereo, the price per unit, in rupees, must be p()= 1000 – . The manufacturer also determines that the total cost of producing units is given by C() = 3000 + 20.
a) Find the total revenue R().
b) Find the total profit P().
c) How many units must the manufacturer produce and sell in order to maimize profit?
d) What price per unit must be charged in order to make this maimum profit?
Section – B
6 What do you mean by time series? Why do we analyse time series?
7 How do you identify an inferior good on the basis of income elasticity of demand?
8 What do you mean by maima or minima of a function?
9 What is a parametric function? How can we differentiate parametric functions ?
Q.10 What is system of equations and how do you solve them?
Section – C
Q.11 Write short notes on the following:
a) Inverse matrix
b) types of discounts
Q.12 Differentiate between the following:
a) Correlation and Regression
b) Matrix and determinant
BCOC134, BCOC 134 ENGLISH MEDIUM
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