Each sweat shop worker at a computer factory can put together 4.9 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. a. What is the distribution of X? X - N( b. What is the distribution of r? I - N( C. What is the distribution of ) ? ) a- N d. If one randomly selected worker is observed, find the probability that this worker will put together between 4.5 and 4.6 computers per hour. e. For the 7 workers, find the probability that their average number of computers put together per hour is between 4.5 and 4.6. f. Find the probability that a 7 person shift will put together between 32.2 and 32.9 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 7 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