BSc IT Sem IV 2015 16 2015-16 Quantitative Techniques Question Paper - Mumbai University | munotes

Questions asked in this paper

1. Q2 All questions are Compuslory
2. Q1 Solve any two 10 marks
3. Q1 Using bisection method find the root of x? — logx — 12 in the interval [3, 4]
4. Q2 Solve the equation — 20 by taking initial root x, = 2 by using Newton-Rapshon method
5. Q3 Given £(2)=18 £(3)=35 £(4) = 38 find f (2.5) by Lagranges interpolation
6. Q4 Using Newton interpolation formula find f (1.7) from the table
7. Q2 Solve any two ge 10 marks
8. Q1 Use Gauss Jordon method to solve system of equation if 2x + 6z 8x + 3y + 2z = 18,
9. Q2 Solve the given system of equation of Gauss Seidal Method 10x + y+z=12;
10. Q3 Given that find y at x =2 in step of 0.2 using Euler’s Modified
11. Q1 Find regression equation y on x and x on y, regressioin cofficient with the help of given data
12. Q2 Fit degree of Parabola by least squre method with the help of given data
13. Q3 Ten students got the following marks in Mathematics & Java Calculate Rank by Spearmen. 3
14. Q4 Find Karl Pearson’s coefficient of correlation ifn = 10 48) = 1712
15. Q4 Solve any two 10 marks
16. Q1 Define Binomial, poisson and normal distribution and give the difference between & normal with their properties,
17. Q2 Calculate first four central moments, B2 if
18. Q3 The variance of a binomial distribution are 3 and 2 find probability that variate takes place i) less than or equal to two ii) greater than equal to seven. Also find S.D.,
19. Q4 One fifth percent of the blades produced by a blade manufacturing factory turn out Of defective the blades are supplied in packets of 10 use poisson distribution to find approximate number of packets containing 1) no defective 2) one defective 3) two defective
20. Q4 mean, variance, skewness and kurtosis
21. Q5 Solve any twe - 10 marks
22. Q1 The number of bike accidents per month in a city was found as below 20, 17, 12, 6, 7, 15, 8, 5, 16 and 14 test goodness of fit (Given that at 5% is 19.02, v = 9)
23. Q2 Define Chi-squre test with properties and uses The certain drug is claimed to be effective incuring colds In an experiment on 164 people with cold, half of given drug and half of them given sugar pills the patients reactions to the treatment are recorded in following table test the hypothesis that the drug is not better thar sugar pills for curing cold (Given that when V = 2 n? at 5% = 5.99)
24. Q4 Solve the following LPP by Simplex Method Min z = 3x, + 2x, Solve the following (any two) SAG 10
25. Q1 Define i) Test of hypothesis ii) level of significance A die was thrown 9000 times and a throw of 5 or 6 was obtained 3240 times on the assumption of random throwing do the data indicates an unbaised die?
26. Q2 Arandom sample of size 16 has 53 mean the sum of the square of the deviation taken from the mean is 150 can this sample be regarded as taken the population having 56 mean obtain 95% and 99% coffidence limits of mean population [Given- V=15tat1%2.95 at 5% 2.13]
27. Q3 given two groups of students the marks obtained areas Check the significance of difference between marks obtained the students of two group
28. Q4 Define student t - distribution with properties
29. Q1 Find the root of equation by false position upto four iteration if +
30. Q2 Find £1) rd and th rule using six interval
31. Q3 Find the equation of line by least square method with the help of given data
32. Q4 In an experiment on immunization of cattle from T.B. the following table are obtained
33. Q5 The following data pertain to two types of tube-bulbs tested for their length of test whether there is significant difference between two means at 5% level
34. Q6 Arandom variable x has following probability

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