B.Com In Banking & Insurance (BCBI) Sem I 2018 2019 Nov 2019 QUANTITATIVE METHODS I Question Paper - Mumbai University | munotes
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Questions asked in this paper
- Please check whether you have got the right question paper
- 2. Figures to the right indicate marks
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Q3 Graphs to be supplied on request
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Q1 (A)Choose the correct answer. (Any 8) 8 marks
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Q1 Ifthe frequency of a class is divided by the total frequency, we get frequency
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Q2 Geometric mean of 4 and 9 is
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Q3 If standard deviation of the given distribution is 2, then its variance is
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Q4 If two variables move in the same direction, there is correlation between them
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Q5 We use regret table for criterion
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Q6 When the index number is calculated for more than one commodities, it is called
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Q7 For calculating the surrender value the duration of the policy is taken as the between the date of surrender and the date of commencement
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Q8 There are regression coefficients
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Q9 Ifthe probability of an event is 0.3, the probability of its complementary event is
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Q10 Range is determined only by points in a set
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Q1 State whether the following statements are true or false (Any 7) 7 marks
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Q1 Quartiles cannot be located graphically The arithmetic mean of 4 and 6 is 5
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Q3 Range is difficult to calculate
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Q4 Supply and price of any commodity are positively correlated
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Q5 If A and B are independent events, then probability of AMB is always zero
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Q6 In aseries of index numbers, base year can be changed No insurance policy can be revived after it has lapsed Median can be calculated for descriptive data
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Q9 The circles in a decision tree represent various states of nature
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Q10 Deciles can be located using histogram
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Q2 (A)Following data give the bursting pressure of polythene bags produced by a manufacturer: Draw a less than curve and find median graphically 8 marks
- (B) Find the mode from the data giving the monthly electricity bill of families. 07
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Q2 (C) The distribution of heights of 100 children is given below. Find Dg and P37. 8 marks
- (D) Draw a histogram and find mode graphically from the following data. 07
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Q3 (A)Calculate the coefficient of correlation between index of demand and index of price given 8 marks
- (B)P can hit a target 3 times in 5 shots; Q can hit 2 times in 5 shots, and R can hit 3 times in 4 07 shots. If P, Q, R fire simultaneously, find the probability that two shots hit the target
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Q3 (C) ABC company is bringing out a new type of toy. The company is attempting to decide whether to bring out.a full, partial or smallest product line. The company has 3 levels of demand good, fair and poor with estimated probabilities 0.2, 0.4 and 0.4 respectively. The pay-off matrix is as follows: (profit m Rs.) the following data, find the two regression equations: = 6, y = 07 8 marks
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Q4 (A)Find the quartile deviation for the following data: Length of life in | 500-700 700-900 900-1100 1100-1300 1300-1500 8 marks
- (B) An endowment policy of Rs.2, 00,000 for 24 years is taken by Mr. Ajay Wadhwani fora 07 monthly mode of payment. The tabulated rate of annual premium is Rs. 50 per thousand on which 5% extra addition for monthly mode of payment is done. The company offers Rs. 2 per thousand rebate for policies if the sum assured is Rs.50,000 and above. Find the monthly
- (C) Find Laspeyre’s, Paasche’s, and Fisher’s index number from the following data: 08
- (D)Find standard deviation for the following data giving the production of acommodity by 250 07 workers of day shift in a factory
- (A)State the properties of normal distribution. 08
- (B) Explain the terms ‘Paid — up value’ and ‘surrender value’ in insurance. 07
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Q5 (C) Write short notes on : (any 3) 15 marks
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Q1 Demerits of median
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Q2 Merits of mean deviation
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Q3 Properties of correlation coefficient
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Q4 Consumer price index number for agricultural laborers
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Q5 Properties of arithmetic mean
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