Each sweat shop worker at a computer factory can put together 4 computers per hour on average with a standard deviation of 0.7 computers. 7 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.

What is the distribution of
X?X ~ N( , )
What is the distribution of
X?X ~ N( , )

What is the distribution of
X?X ~ N( , )

If one randomly selected worker is observed, find the probability that this worker will put together between 3.9 and 4.1 computers per hour.

For the 7 workers, find the probability that their average number of computers put together per hour is between 3.9 and 4.1.

Find the probability that a 7 person shift will put together between 26.6 and 28 computers per hour.

For part e) and f), is the assumption of normal necessary? Yes No

A sticker that says "Great Dedication" will be given to the groups of 7 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)