Each sweatshop worker at a computer factory can put together 4.5 computers per hour on average with a standard deviation of 1 computer. 11 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?X~ N(_________, ___________)
2. What is the distribution ofx? x~ N(________,_________)
3. What is the distribution ofx?x~ N(_________,__________)
4. If one randomly selected worker is observed, find the probability that this worker will put together between 4.1 and 4.5 computers per hour.
5. For the 11 workers, find the probability that their average number of computers put together per hour is between 4.1 and 4.5.
6. Find the probability that an 11 person shift will put together between 46.2 and 50.6 computers per hour.
7. For parts e) and f), is the assumption of normal necessary?Yes No
8. A sticker that says "Great Dedication" will be given to the groups of 11 workers who have the top 10% productivity. What is the least total number of computers produced by a group that receives a sticker?minutes (round to the nearest computer)