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A

Section A: Long Answer Questions

Attempt any TWO questions.

3 questions·10 marks each
1long10 marks

Define probability and the different approaches to probability (classical, empirical, axiomatic). State and prove the addition theorem of probability for two events.

probability
2long10 marks

Define the normal distribution. State its properties and explain the standard normal variate. Solve a problem involving the area under the normal curve.

normal-distribution
3long10 marks

Define rank correlation. Compute Spearman's rank correlation coefficient for the given data, including the case of tied ranks.

correlationrank
B

Section B: Short Answer Questions

Attempt any EIGHT questions.

9 questions·5 marks each
4short5 marks

Define the axiomatic approach to probability.

probability
5short5 marks

State the properties of the normal distribution.

normal-distribution
6short5 marks

What is rank correlation?

correlation
7short5 marks

Define a standard normal variate.

normal-distribution
8short5 marks

What is the difference between correlation and regression?

regression
9short5 marks

Define quartile deviation.

dispersion
10short5 marks

State the addition theorem of probability.

probability
11short5 marks

What is the coefficient of skewness?

skewness
12short5 marks

Find the variance of 2, 4, 6, 8, 10.

dispersion