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A population of adult gastropods of the colourful species Cypraea tigris have normally distributed lengths with...

A population of adult gastropods of the colourful species Cypraea tigris have normally distributed lengths with a mean of 9.8 cm and a standard deviation of 1.7 cm.

  1. Determine the percentage of adults of this species with lengths of between 8 and 11 cm. (4 marks)
  2. Determine the 80th percentile of the lengths of this gastropod species. (3 marks)
  3. Determine the percentage of all possible samples of 25 gastropods of this species that have a mean length greater than 9.2 cm. (3 marks)
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