AQA Paper 3 2020 June — Question 17

Exam BoardAQA
ModulePaper 3 (Paper 3)
Year2020
SessionJune
TopicNormal Distribution
TypeMultiple probability calculations

17 The lifetime of Zaple smartphone batteries, \(X\) hours, is normally distributed with mean 8 hours and standard deviation 1.5 hours. 17
    1. Find \(\mathrm { P } ( X \neq 8 )\) 17
  1. (ii) Find \(\mathrm { P } ( 6 < X < 10 )\)
    17
  2. Determine the lifetime exceeded by \(90 \%\) of Zaple smartphone batteries.
    17
  3. A different smartphone, Kaphone, has its battery's lifetime, \(Y\) hours, modelled by a normal distribution with mean 7 hours and standard deviation \(\sigma\). 25\% of randomly selected Kaphone batteries last less than 5 hours.
    Find the value of \(\sigma\), correct to three significant figures.