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Each sweat shop worker at a computer factory can put together 4.6 computers per hour on average with a standard deviation of 0.9 computers. 40

Each sweat shop worker at a computer factory can put together 4.6 computers per hour on average with a standard deviation of 0.9 computers. 40 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.

  1. What is the distribution of x? x ~ N ( ____ , _____)
  2. A sticker that says "Great Dedication" will be given to the groups of 40 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)

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