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6 Question 6 Each sweat shop worker at a computer factory can put together 4.8 computers per hour on average with a standard deviation of

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Question 6 Each sweat shop worker at a computer factory can put together 4.8 computers per hour on average with a standard deviation of 0.9 computers. 9 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 ac? ac - N( c. What is the distribution of a? x - Nd d. If one randomly selected worker is observed, find the probability that this worker will put together between 4.5 and 4.8 computers per hour. e. For the 9 workers, find the probability that their average number of computers put together per hour is between 4.5 and 4.8. f. Find the probability that a 9 person shift will put together between 39.6 and 42.3 computers per hour. g. For part e) and f), is the assumption of normal necessary? O NoO Yes h. A sticker that says "Great Dedication" will be given to the groups of 9 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)

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