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6 marksContinuous Random Variables

CAPE Applied Mathematics Unit 2 · 2010 · Paper 2 · Question 4(a)(i)

Wood cut by a saw has lengths normally distributed with mean 3 metres. 15% of the pieces cut are less than 2.75 metres long.

Determine the standard deviation of the length of wood cut.

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Other parts of this question

  1. 4(a)(ii)Determine the proportion of the pieces that are longer than 3.2 metres.[5 marks]
  2. 4(b)(i)State clearly the null and alternative hypotheses for a chi-square test to determine whether the number of employees who work overtime is independent of the…[2 marks]
  3. 4(b)(ii)Find the expected frequencies if the null hypothesis is true.[3 marks]
  4. 4(b)(iii)Using a 5% significance level, determine whether the number of employees who work overtime is independent of the distance of their home from the workplace.…[9 marks]

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