Indian Institute of Technology Mumbai (IIT-M) 2010 M.B.A Commonwealth Executive Programme C-7: Quantitative Techniques,(ember ) - Question Paper
No. of Printed Pages : 3 C-7
COMMONWEALTH EXECUTIVE MBA / MPA PROGRAMME
in Term-End Examination December, 2010 g C-7 : QUANTITATIVE TECHNIQUES
Time : 3 hours Maximum Marks : 100
(Weightage 70%)
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Note: (i) |
There are two sections. |
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(n) |
Section A has six questions, each carrying |
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15 marks. Attempt any four questions from | |
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section A. | |
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(Hi) |
Section B is compulsory and carries 40 marks. |
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Attempt both questions. | |
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(iv) |
Statistical tables may be supplied on request. |
SECTION - A
1. Solve the following system of equations by Crammer's rule :
2x - 3 y + z = 7 2x + y - 2 = 1 4y + 3z= -11
3. An investment consultant predicts that the odds against the price of a certain stock going up are 2 : 1 and odds in favour of the price remaining the same are 1 : 3. What is the probability the price of the stock will go down ?
4. Explain the difference between Census and Sampling. Why is the word 'random' attached with sampling ? Discuss some advantages of random sampling.
5. A factory claims that only 1% units of total production are substandard. A sample of 500 units is taken and 2% of them are found to be defective. Check the claim at 95% level of significance.
6. Write short notes on any three of the following :
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(a) |
Step functions |
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(b) |
Quartile Deviation |
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(c) |
Baye's Theorem |
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(d) |
Chi-Square distribution |
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(e) |
Cyclical variations |
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X |
75 |
88 |
95 |
70 |
60 |
80 |
81 |
50 |
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Y |
120 |
134 |
150 |
115 |
110 |
140 |
142 |
100 |
8. Write down the salient features of normal probability distribution. What percentage of values will lie within ji,2or when the characteristic follows a normal distribution ?
C-7 3
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Attachment: |
| Earning: Approval pending. |
