ASSIGNMENT – I

1. (a) What are the requisites of a good classification?

(b) State and prove additive law of probability.

(c) Explain sampling distribution and standard error.

(d) Explain cyclical variation.

(e) Define :

(i) One tail test

(ii) Two tail test

(iii) Critical region.

(f) Explain secondary data.

2. Explain Mean, Median and Mode.

3. (a) State and prove Baye's theorem.

(b) A bag contains 8 white and 6 red balls. Find the probability of drawing two balls of the same colour.

4. Discuss the formulation and testing the validity of hypothesis.

ASSIGNMENT - II

5. (a) Find the inverse of the matrix

ú ú ú

û

ù

ê ê ê

ë

é

=

1 3 4

1 4 3

1 3 3

A

(2DEMB 5)

(b) Show that the matrix A satisfies the equation A2 - 4A + I =0 .

6. A sample analysis of examination results of 200 MBA's was made. It was found that 46 students had

failed, 68 secured a third division, 62 secured a second division and the rest were placed in first division.

Are these figures commensurate with the general examination result which is in the ratio of 4 : 3 : 2 : 1 for

various categories respectively?

7. The following table gives the marks detained in English and Mathematics by 8 students .

Marks in English : 44 42 40 52 39 32 24 46

Marks in Maths : 24 25 28 29 32 35 36 41

(a) Compute the coefficient of correlation for the above data.

(b) Find the equations of regression lines.

8. (a) An insurance salesman sells policies to 5 men all of identical age and good health. According to the

actuarial tables the probability that a man of this particular age will be alive 30 years hence is 3

2 .

Find the probability that 30 years hence

(i) At least 1 man will be alive

(ii) At least 3 men will be alive.

(b) A market research organisation wants to determine on the basis of the following information,

whether there is a relationship between the size of a tooth paste which a shopper buys and the

number of persons in the shopper's House Hold (SH)

No. of person in S.H 1-2 3-4 5-6 7 or more

Size of tube giant : 23 116 78 43

Large : 54 25 16 11

Small : 31 68 36 8

Is there a relationship at 1% level of significance?

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