Edexcel S1 2013 June — Question 6

Exam BoardEdexcel
ModuleS1 (Statistics 1)
Year2013
SessionJune
TopicNormal Distribution
TypeExpected frequency with unknown parameter

  1. The weight, in grams, of beans in a tin is normally distributed with mean \(\mu\) and standard deviation 7.8
Given that \(10 \%\) of tins contain less than 200 g , find
  1. the value of \(\mu\)
  2. the percentage of tins that contain more than 225 g of beans. The machine settings are adjusted so that the weight, in grams, of beans in a tin is normally distributed with mean 205 and standard deviation \(\sigma\).
  3. Given that \(98 \%\) of tins contain between 200 g and 210 g find the value of \(\sigma\).