CAIE S1 2002 November — Question 6

Exam BoardCAIE
ModuleS1 (Statistics 1)
Year2002
SessionNovember
TopicApproximating Binomial to Normal Distribution
TypeCombined binomial and normal events

6
  1. A manufacturer of biscuits produces 3 times as many cream ones as chocolate ones. Biscuits are chosen randomly and packed into boxes of 10 . Find the probability that a box contains equal numbers of cream biscuits and chocolate biscuits.
  2. A random sample of 8 boxes is taken. Find the probability that exactly 1 of them contains equal numbers of cream biscuits and chocolate biscuits.
  3. A large box of randomly chosen biscuits contains 120 biscuits. Using a suitable approximation, find the probability that it contains fewer than 35 chocolate biscuits.