CAIE S1 2004 June — Question 4

Exam BoardCAIE
ModuleS1 (Statistics 1)
Year2004
SessionJune
TopicNormal Distribution
TypeMixed calculations with boundaries

4 Melons are sold in three sizes: small, medium and large. The weights follow a normal distribution with mean 450 grams and standard deviation 120 grams. Melons weighing less than 350 grams are classified as small.
  1. Find the proportion of melons which are classified as small.
  2. The rest of the melons are divided in equal proportions between medium and large. Find the weight above which melons are classified as large.