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Use Central Limit Theorem. A coffee vending machine dispenses an average of 590 mL of coffee per press with a standard deviation of 19.5 mL.

Use Central Limit Theorem. A coffee vending machine dispenses an average of 590 mL of coffee per press with a standard deviation of 19.5 mL. Assume that the data is normally distributed. What is the probability that the machine dispenses:

  1. No more than an average of 585 mL when pressed on 12 random occasions? (1 mark)
  2. Between 585 mL and 602 mL, on average, when pressed on 12 random occasions?(2 marks)

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