- LLUBbLlUH 1. V ( ) Each sweat shop worker at a computer factory can put together 4.3 computers per hour on average with a standard deviation of 0.8 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. mat is the distribution of X? X " N([_]'[ : l) b. What is the distribution of e? 5 _ Mr\" H - ]) c. What is the distribution of 2 x? Z a: - N([ 7],{ _. WJ) d. If one randomly selected worker is observed, find the probability that this worker will put together between 4 and 4.3 computers per hour. e. For the 8 workers, find the probability that their average number of computers put together per hour is between 4 and 4.3. E f. Find the probability that a 8 person shift will put together between 32 and 34.4 computers per hour. 9,. For part e) and f), is the assumption of normal necessary? No Yes h. A sticker that says "Great Dedication" will be given to the groups of 8 workers who have the top 10% omputers per hour (round to the nearest computer)