CAIE S1 2018 November — Question 5 4 marks

Exam BoardCAIE
ModuleS1 (Statistics 1)
Year2018
SessionNovember
Marks4
TopicNormal Distribution
TypeDirect binomial from normal probability

5 The weights of apples sold by a store can be modelled by a normal distribution with mean 120 grams and standard deviation 24 grams. Apples weighing less than 90 grams are graded as 'small'; apples weighing more than 140 grams are graded as 'large'; the remainder are graded as 'medium'.
  1. Show that the probability that an apple chosen at random is graded as medium is 0.692 , correct to 3 significant figures.
  2. Four apples are chosen at random. Find the probability that at least two are graded as medium. [4]