Edexcel FS1 Specimen — Question 5

Exam BoardEdexcel
ModuleFS1 (Further Statistics 1)
SessionSpecimen
TopicGeometric Distribution
TypeSecond success on trial n

  1. The probability of Richard winning a prize in a game at the fair is 0.15
Richard plays a number of games.
  1. Find the probability of Richard winning his second prize on his 8th game,
  2. State two assumptions that have to be made, for the model used in part (a) to be valid. M ary plays the same game, but has a different probability of winning a prize. She plays until she has won r prizes. The random variable \(G\) represents the total number of games M ary plays.
  3. Given that the mean and standard deviation of G are 18 and 6 respectively, determine whether Richard or Mary has the greater probability of winning a prize in a game.