PPT For Business Mathematics And Statistics Name-Diksha Sharma Class- B.com-I (B) Roll No.-188 Submitted to- Mrs. Bikram kaur

2005 Question paper SECTION-A 1 (a) Discuss limitations of statistics.

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(b) Write a short note on Binomial Distribution.

(c) Find the probability of drawing an ace from the set of 52 cards.

(d) Explain briefly the tests of consistency for an index number.

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(e) Find the present value of Rs (e) Find the present value of Rs. 12000 after 5 years if the rate of interest is 12.5 % .

(f) X Co. Ltd. Offered its share at Rs. 120(i.e. 100 face value and Rs. 20 security premium). In the following year a dividend of Rs. 21% was declared by the company. Find the rate of return (interest rate) at the hands of the investor.

SECTION – B 2. From the following data construct chain base index numbers.

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3. Fit a straight line trend by the method of least squares to the following data. Assuming that the same rate of change continues, what would be the pn dicated earnings for the year2005.

4. Solve the LPP Max X=X1+2 X2 Sub to 2 X1+3 X2_<6 X1+4 X2_<4 Where X1,X2 _>0 Solution Consider above constraints as equations 2 X1 + 3 X2 = 6 X1 + 4 X2 = 4 Point of eq. (i) i.e. 2 X1 +3 X2 = 6 Let X1 = 0, eq. (i) becomes

Cont… Then 2(0) + 3 X2 = 6 X2 = 2 Let x2 = 0, eq. (i) becomes

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Cont.. So, we get points (0,2) ; (3,0) Point for eq. (ii) i.e. X1 +4 X2 = 4 Let X1 = 0, eq. (ii) becomes. 0 + 4 X2 = 4 X2 = 1 Let X2 = 0, eq. (ii) becomes X1 + 4(0) = 4 X1 = 4

Cont… This eq. gives two points (0,1) : (4,0) Z = X1 + 2 X2 p(0,0) 0 + 2(0) = 0 Z = 0 + 2(2) p( 0,2) 0 + 4 = 4 P(3,0) Z = 3 + 2(0) = 3

5. What do you mean by dispersion 5. What do you mean by dispersion ? What objects does a measure of dispersion serve ?

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6. Explain the various components of time series.

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SECTION – C 7. Write short note on : (i) sampling techniques.

(ii) Difficulties in the collection of National Income Statistics.

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8. The following are the annual premiums charged by the ICICI Prudential Life Insurance for a policy of Rs. 10,000. Calculate the premium payable at the age of 26 and at the age of 42. Use appropriate formula.

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9. A problem of Linear Programming is given to five students Mr A, Mr B, Miss C, Miss D, Mr E. There chances of solving it are ½, 1/3, ¼, 1/5, and 1/6. What is the probability that problem will b solved ?

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10. Calculate coefficient of rank correlation from the data given below:

11. Distinguish between correlation and regression 11. Distinguish between correlation and regression. Which is more useful and why ?

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2006 Question Paper.. SECTION – A 1 (i) Discuss Scope of Statistics.

Cont… Ans. 1. Statistics and the state

Cont… 2. Statistics and Business

Cont… 3. Statistics and Planning

Cont… 4. Statistics and Physical and Natural Science

Cont… 5. Statistics and Human Behaviour

(ii) Write a short note on ‘Features of a good measure of dispersion.’

(iii) Use Cramer’s Rule and solve for x,y,z the equation : 6x + y – 3z = 5 x + 3y – 2z = 5 2x + y + 4z = 8.

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(iv) A person sets up a Sinking Fund in order to have Rs (iv) A person sets up a Sinking Fund in order to have Rs. 80,000 after 10 years for his family expenditure. How much amount should be set aside biannually into an account, paying 5% p.a. compounded half yearly ?

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(v) Calculate trend values by 3 yearly moving average from the following data :

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(vi) From a standard pack of 52 cards, one card is drawn at random (vi) From a standard pack of 52 cards, one card is drawn at random. Find the probability that it is either a Red or a King.

SECTION – B 2. Define index numbers SECTION – B 2. Define index numbers. Explain briefly the nature of problems involved in the construction of index numbers. Discuss their uses.

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3. The first and third quartiles of the following data are given to 25 marks and 50 marks respectively, out of the data given below :

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4. Fit a straight line trend to the following data and estimate value for 2006 : 15

5. Solve the following LPP by Simplex Method :

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SECTION – C 6. (i) Discuss the properties of Normal Distribution.

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(ii) Discuss the limitations of Industrial Statistics in India.

7. (i) Find Karl Pearson’s Co-efficient of Correlation :

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(ii) The competitors in a beauty contest are ranked by three judges in the following order :

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8. (i) The following table shows the age(X) and blood pressure (Y) of 8 persons.

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(ii) A set of 5 unbiased coins is tossed 3200 times and the number of heads observed at each throw is given below. Assuming that distribution follows Binomial Law, calculate expected frequencies :

THANK YOU