CAIE S1 2018 June — Question 6

Exam BoardCAIE
ModuleS1 (Statistics 1)
Year2018
SessionJune
TopicNormal Distribution
TypeNormal approximation to binomial

6 The diameters of apples in an orchard have a normal distribution with mean 5.7 cm and standard deviation 0.8 cm . Apples with diameters between 4.1 cm and 5 cm can be used as toffee apples.
  1. Find the probability that an apple selected at random can be used as a toffee apple.
  2. 250 apples are chosen at random. Use a suitable approximation to find the probability that fewer than 50 can be used as toffee apples.