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The mean yearly rainfall in Sydney, Australia, is about 137 mm and the standard deviation is about 69 mm (Annual maximums of, 2013). Assume rainfall

The mean yearly rainfall in Sydney, Australia, is about 137 mm and the standard deviation is about 69 mm ("Annual maximums of," 2013). Assume rainfall is normally distributed.

  1. Find the probability that the yearly rainfall is less than 90 mm.
  2. Find the probability that the yearly rainfall is more than 225 mm.
  3. Find the probability that the yearly rainfall is between 140 and 240 mm.
  4. What rainfall amount are 85% of all yearly rainfalls more than?

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