Download Model question papers & previous years question papers

Posted Date: 28 Apr 2008      Posted By:: sac    Member Level: Gold  Points: 5 (Rs. 1)

2007 Alagappa University M.Sc Computer Science Mathematics Question paper

Course: M.Sc Computer Science   University/board: Alagappa University

Time : Three hours Maximum : 100 marks
Answer any FIVE questions.
All questions carry equal marks.
1. (a) Two discrete random variables X and Y have the joint p.d.f where and p are constants with .
(i) Find the marginal p.d.f. of X and Y
(ii) The conditional p.d.f of Y given X = x
(b) The joint p.d.f of two variables X and Y is given by .
Find the marginal distributions of and Y.
2. (a) State and prove weak law of large numbers.
(b) State and prove Bernovlli's law of large numbers.
3. (a) If and are two independent –variates with and d.f. respectively then show that is a variate.
(b) State and prove central limit theorem.
4. (a) Derive student's t-distribution.
(b) Obtain the M.L.Es for and for the rectangular population
5. (a) Explain the two types of errors.
(b) State and prove Neyman Pearson lemma.
6. Explain the test for the equality of means of two normal populations.
7. A variable trial was conducted on wheat with 4 varieties in a Latin squar design. The plan of the experiment and the per plot yield are given below :
C 25 B 23 A 20 D 20
A 19 D 19 C 21 B 18
B 19 A 14 D 17 C 20
D 17 C 20 B 21 A 15
Analyze data and interpret the result.
8. (a) Explain and p charts.
(b) Given below are the values of sample mean and sample range R for 10 samples, each of size 5. Draw the appropriate mean and Range charts and comment on the state of control of the process :
Sample No. : 1 2 3 4 5 6 7 8 9 10
Mean : 43 49 37 44 45 37 51 46 43 47
Range : 5 6 5 7 7 4 8 6 4 6

Return to question paper search


Previous Question Paper: COMPLEX ANALYSIS

Related Question Papers:

  • M.C.A(s) Degree Examination

  • Categories

    Submit Previous Years University Question Papers and make money from adsense revenue sharing program

    Are you preparing for a university examination? Download model question papers and practise before you write the exam.

    Ask Tony John
    Facebook Group · 5 members
    Join Group
    Ask Your Questions regarding Blogging, AdSense, Digital Marketing, Social Media ...
    Top Contributors
    TodayLast 7 Daysmore...

    Awards & Gifts
    ISC Technologies, Kochi - India. © All Rights Reserved.