Each sweat shop worker at a computer factory can put together 4 computers per hour on average with a standard deviation of 1 computers. 42 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. If one randomly selected worker is observed, find the probability that this worker will put together between 3.8 and 4 computers per hour. For the 42 workers, find the probability that their average number of computers put together per hour is between 3.8 and 4. Find the probability that a 42 person shift will put together between 163.8 and 168 computers per hour.

Each sweat shop worker at a computer factory can put together 4 computers per hour on average with a standard deviation of 1 computers. 42 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.

If one randomly selected worker is observed, find the probability that this worker will put together between 3.8 and 4 computers per hour.

For the 42 workers, find the probability that their average number of computers put together per hour is between 3.8 and 4.

Find the probability that a 42 person shift will put together between 163.8 and 168 computers per hour.

A sticker that says “Great Dedication” will be given to the groups of 42 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)

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