1 . Attempt any SIX questions. [6x5=30] 2. Describe the scope and limitations of Statistics.

2 . 3. What do you mean by statistics? The following table represents the marks of Probability and Statistics of 100 students.

3 . 4. Define correlation. From the following data on marks of 10 students in the two subjects, calculate the Karl Pearson’s coefficient of correlation and interpret the result:

4 . 5. Define regression. The following table gives the age of the computers of a certain company and annual maintenance costs:

5 . 6. Define Poisson distribution. In certain factory timing out optical lenses, there is a small chance, 1/500 for any lens to be defective. The lenses are supplied in a packet of 10 each. What is the probability that a packet will contain; (i) No defective lens, (ii) At least one defective lenses, and (iii) At most two defective lenses.