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problem 1)(a) A man borrows Rs 10,000 from a firm and the he agreed to pay Rs 5,000 at the end of each 6 months, together with an interest of 1% on the opening balance of each period. Find the total interest which he will pay on clearing the loan.

(b) Using matrix inversion method ,solve the following system of equation

2x-y+2z=6
x-2y+3z=6
3x-3y-z=-6

problem 2)(a) Discuss the different types of graphs and charts. describe their uses?

(b) The mean and the standard deviation of a sample of a size of 10 were i.e. 9.5 and 2.5 respectively. Later on, an additional observation becomes available. This was 15 was included in the original sample. Find the mean and standard deviation of the 11 observations.

problem 3)(a) The odds that A speaks the truth is 3:2 and the odds that B speaks the truth is 5:3 .In what percentage of cases they are likely to contradict and agreed each other on an identical point.

(b) Describe Poisson Distribution and Normal Distribution? Distinguish clearly the relationship between the Binomial and Poisson distribution.

problem 4)(a) A manufacturer of watches has determined from the experience that 3% of the watches, he produces are defective .If a random sample of 300 watches are examined. What is the probability that the proportion defective is between 0.02 and 0.35.

(b) Using Chi-square test examine whether the two attributes on the following contingency table are in dependent at 0.05 level of significance or not. Training

Performance             Intensive       Good      Average       Total
Above
Average                    100              150          040           290
Average                    100              100          100           300
Poor                         50               080           150           280
Total                        250               330         290            870

problem 5)(a) What is Business Forecasting? describe its role and limitations.Discuss in brief the various theories and methods of Business Forecasting.

(b) describe What do you understand by Time Series? describe Time Series is considered to be an effective tool of Forecasting.

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