Each sweat shop worker at a computer factory can put together 4.1 computers per hour on average with a standard deviation of 0.9 computers. 50 workers are randomly selected to work the next shift at the factory. Round all answers to 4 decimal places where possible and assume a normal distribution.

1. What is the distribution ofX
2. X
3. ?X
4. X
5. ~ N(,)
6. What is the distribution of
7. x
8. x
9. ?
10. x
11. x
12. ~ N(,)
13. What is the distribution of
14. x
15. x
16. ?
17. x
18. x
19. ~ N(,)
20. If one randomly selected worker is observed, find the probability that this worker will put together between 4 and 4.1 computers per hour.
21. For the 50 workers, find the probability that their average number of computers put together per hour is between 4 and 4.1.
22. Find the probability that a 50 person shift will put together between 195 and 200 computers per hour.
23. For part e) and f), is the assumption of normal necessary?YesNo
24. A sticker that says "Great Dedication" will be given to the groups of 50 workers who have the top 20% productivity. What is the least total number of computers produced by a group that receives a sticker?minutes (round to the nearest computer)