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4. A factory's worker productivity is normally distributed. One worker produces an average of 70 units pet day with a standard deviation of 10. Another worker produces at an average rate of 60 per day with a standard deviation of 10. What is the probability that during one week (5 working days) worker I will outproduce worker 2? (10 points) 5. What are the three desirable properties of point estimators? (10 points) 6. Explain Central Limit Theorem? (10 points) 7. After a financial analysis, the general manager of a large company decided that if more than 8% of potential buyers of a new product purchase that product, the company would show a profit. In a preliminary survey of 500 potential buyers, 56 people say that they will buy the product. Is there sufficient evidence at the 5% significance level that the product will produce a profit? (10 pts)