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Questions:

1. Find out the number of students who obtained marks in different categories.
2. Can it be said that there are relatively more women owners in villages than in towns using x test?
3. Find the probability of getting 4 white balls in the first draw and 4 black balls in the second draw under different conditions.
4. What is simulation? Discuss its advantages and limitations.
5. Find binomial distribution and calculate its mean and standard deviation for the given experiment.
6. Write short notes on the following: (i) Decision tree diagram, (ii) Decision environment.
7. Test the significance of difference between two population proportions at 5% level of significance.
8. Explain t-test, F-test, and z-test along with their practical importance.
9. Briefly explain the technique of analysis of variance.
10. Determine the optimal number of copies to order using the Expected Opportunity Loss (EOL) criterion.