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Calicut University 2006 M.Com Commerce QUANTITATIVE TECHNIQUES - exam paper

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FIRST SEMESTER M.Com. DEGREE EXAMINATION, NOVEMBER 2006

Paper 1-2QUANTITATIVE TECHNIQUES (2004 admissions)

Time : Three Hours    Maximum : 80 Marks

Part A

Answer all questions.

Each question carries 2 marks.

i. What is meant by discrete random variable ?

'ly What is a probability distribution ?

3. Slate law of largo numbers.

4. Define expectation of.r.

5. What is /-static ?

   (5 x 2 = 10 marks)

Part Q

Answer any four questions.

Each question carries 10 marks.

(a) State addition theorem of probability.

i h i 20 per rent of the holts produced in a given machine is on t.he average found defective. If )0 hi M - an- selected it random from one days production, find the probability i;hat 3 of them wil! !:< defective.

7.    (a) A binomial distribution has n - 20, p = 0-4. Calculate the mean and variance of the distribution, ibj Distinguish between One-tail and Two-tail tests,

8.    To ascertain whether the high income families'have a tendency to send their children to private schools, a survey was conducted among 2,000 families and the following results were obtained :

No. of children in

* -    - A    i    

Private. School Government School

Low income families ...    400    450

High income families ...    600    550

How do you tr.st these results ?

9.    Bring out the relative merits and demerits of stratified random sampling and cluster sampling methods




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