CAIE S1 2005 November — Question 5

Exam BoardCAIE
ModuleS1 (Statistics 1)
Year2005
SessionNovember
TopicBinomial Distribution
TypeE(X) and Var(X) with probability calculations

5 A box contains 300 discs of different colours. There are 100 pink discs, 100 blue discs and 100 orange discs. The discs of each colour are numbered from 0 to 99 . Five discs are selected at random, one at a time, with replacement. Find
  1. the probability that no orange discs are selected,
  2. the probability that exactly 2 discs with numbers ending in a 6 are selected,
  3. the probability that exactly 2 orange discs with numbers ending in a 6 are selected,
  4. the mean and variance of the number of pink discs selected.