CAIE S1 2024 June — Question 3

Exam BoardCAIE
ModuleS1 (Statistics 1)
Year2024
SessionJune
TopicNormal Distribution
TypeMixed calculations with boundaries

3 The weights of oranges can be modelled by a normal distribution with mean 131 grams and standard deviation 54 grams. Oranges are classified as small, medium or large. A large orange weighs at least 184 grams and 20\% of oranges are classified as small.
  1. Find the percentage of oranges that are classified as large.
  2. Find the greatest possible weight of a small orange.