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Questions:

1. Explain the concept of mutually exclusive events in probability.
2. Do you find any inconsistency in the statement: 'The mean of the Poisson distribution is 16 and its standard deviation is 9'?
3. Differentiate between positive and negative association of attributes.
4. Explain the characteristics of Chi-Square Test.
5. Explain the concept of the Universe and the Sample.
6. Define probability and prove the addition and multiplication theorems of probability.
7. What is the probability that both balls drawn will be of (i) black colour (ii) white colour, if two balls are drawn randomly one by one without replacement from a bag containing 5 white and 3 black balls?
8. Explain the meaning and properties of Binomial distribution and describe its uses.
9. Calculate the coefficient of association between literacy and criminality in the state, given the following data: male population = 331 lakhs, literate males = 66 lakhs, male criminals = 33 thousand, literate male criminals = 6 thousand.
10. Explain the census and the sampling methods of statistical investigation. What is the need of sampling as compared to census?
11. What is Normal Distribution? Discuss its main properties.