Each sweat shop worker at a computer factory can put together 4.8 computers per hour on average with a standard deviation of 1 computers. 8 workers are randomly selected to work the next shift at the...

Each sweat shop worker at a computer factory can put together 4.8 computers per hour on average with a standard deviation of 1 computers. 8 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.

Extracted text: Each sweat shop worker at a computer factory can put together 4.8 computers per hour on average with a standard deviation of 1 computers. 8 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. a. What is the distribution of X? X - N( b. What is the distribution of ¤? ¤ - N( c. What is the distribution of > x? > x - N( d. If one randomly selected worker is observed, find the probability that this worker will put together between 4.9 and 5.2 computers per hour. e. For the 8 workers, find the probability that their average number of computers put together per hour is between 4.9 and 5.2. f. Find the probability that a 8 person shift will put together between 36.8 and 38.4 computers per hour. g. For part e) and f), is the assumption of normal necessary? O NoC Yes h. A sticker that says "Great Dedication" will be given to the groups of 8 workers who have the top 10% productivity. What is the least total number of computers produced by a group that receives a sticker? computers per hour (round to the nearest computer)