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5 marksNormal Distribution

CAPE Applied Mathematics Unit 1 · 2014 · Paper 2 · Question 4(c)

The lifespan of an insect species follows a normal distribution with mean 72 days and standard deviation 8 days. Calculate the probability that an insect lives for more than 84 days.

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Other parts of this question

  1. 4(a)State three conditions necessary to model a variable using a binomial distribution.[3 marks]
  2. 4(b)(i)Calculate P(X = 3).[3 marks]
  3. 4(b)(ii)Calculate P(X >= 2).[4 marks]
  4. 4(d)(i)Find the expected number of germinating seeds in the package.[2 marks]
  5. 4(d)(ii)Find the standard deviation of the number of seeds that will germinate.[2 marks]
  6. 4(d)(iii)Use an approximate distribution to calculate the probability that less than 175 seeds from the package will germinate.[6 marks]

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