OCR Stats 1 2018 March — Question 8

Exam BoardOCR
ModuleStats 1 (Statistics 1)
Year2018
SessionMarch
TopicNormal Distribution
TypeMultiple probability calculations

8 The masses, \(X\) grams, of tomatoes are normally distributed. Half of the tomatoes have masses greater than 56.0 g and \(70 \%\) of the tomatoes have masses greater than 53.0 g .
  1. Find the percentage of tomatoes with masses greater than 59.0 g .
  2. Find the percentage of tomatoes with masses greater than 65.0 g .
  3. Given that \(\mathrm { P } ( a < X < 50 ) = 0.1\), find \(a\).