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A

Section A: Long Answer Questions

Attempt any TWO questions.

3 questions·10 marks each
1long10 marks

Explain the concept of a measure of dispersion. Calculate the quartile deviation, mean deviation and standard deviation for the given data and compare them.

dispersion
2long10 marks

Define conditional probability and independent events. State Bayes' theorem and apply it to solve a problem on conditional probability.

probabilitybayes
3long10 marks

Define mathematical expectation. Find the mean and variance of a discrete random variable from its probability distribution. State the properties of expectation.

expectationrandom-variable
B

Section B: Short Answer Questions

Attempt any EIGHT questions.

9 questions·5 marks each
4short5 marks

Define mathematical expectation.

expectation
5short5 marks

State Bayes' theorem.

bayes
6short5 marks

What is the difference between a parameter and a statistic?

basics
7short5 marks

Define the variance of a random variable.

random-variable
8short5 marks

What is a probability distribution?

distribution
9short5 marks

Define the weighted arithmetic mean.

central-tendency
10short5 marks

State the properties of expectation.

expectation
11short5 marks

What is the interquartile range?

dispersion
12short5 marks

Find the probability of getting a head when a fair coin is tossed once.

probability