Each sweat shop worker at a computer factory can put together 4.1 computers per hour on average with a standard deviation of 0.7 computers. 14 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,D) b. What is the distribution of 2? T - N(C},[:]) c. What is the distribution of Zx? Z T - N(D,D) d . If one randomly selected worker is observed, find the probability that this worker will put together between 4 and 4.2 computers per hour. e. For the 14 workers, find the probability that their average number of computers put together per hour is between 4 and 4.2. f. Find the probability that a 14 person shift will put together between 53.2 and 56 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 14 workers who have the top 15% 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)