Browse papers
A

Section A: Long Answer Questions

Attempt any TWO questions.

3 questions·10 marks each
1long10 marks

Explain the measures of central tendency. Compute mean, median and mode for the given grouped frequency distribution and establish the empirical relationship among them.

central-tendency
2long10 marks

Define the Poisson distribution. State its properties and applications. Given the mean number of accidents per day is 2, find the probability of 0, 1 and at least 2 accidents on a given day.

poissondistribution
3long10 marks

Define regression. Derive the two regression equations (Y on X and X on Y). Explain the properties of the regression coefficients.

regression
B

Section B: Short Answer Questions

Attempt any EIGHT questions.

9 questions·5 marks each
4short5 marks

Define harmonic mean.

central-tendency
5short5 marks

State the empirical relation between mean, median and mode.

central-tendency
6short5 marks

What are the properties of the Poisson distribution?

poisson
7short5 marks

Define the line of regression.

regression
8short5 marks

What is conditional probability?

probability
9short5 marks

Define mean deviation.

dispersion
10short5 marks

What is a probability mass function?

distribution
11short5 marks

State the properties of a good measure of central tendency.

central-tendency
12short5 marks

Find the mode of 2, 3, 3, 5, 7, 3, 8.

central-tendency