CSS 2022 Statistics Paper I

Define Statistics. Discuss its scope and limitations in the modern world. Explain the different methods of primary data collection.

Define Mean, Median, and Mode. Under what conditions is the Median preferred over the Mean? Prove that the sum of deviations of a set of observations from their mean is zero.

Explain the Classical and Axiomatic definitions of Probability. Three coins are tossed; find the probability of getting at least two heads.

Define Joint, Marginal, and Conditional probability distributions for two discrete random variables X and Y.

What is Correlation? Distinguish between positive, negative, and zero correlation. Calculate Pearson's Coefficient of Correlation for a provided dataset.

Derive the Mean and Variance of the Binomial Distribution. Mention four properties of the Binomial experiment.