CAIE S2 2016 November — Question 2

Exam BoardCAIE
ModuleS2 (Statistics 2)
Year2016
SessionNovember
TopicCombinations & Selection

2 Dominic wishes to choose a random sample of five students from the 150 students in his year. He numbers the students from 1 to 150 . Then he uses his calculator to generate five random numbers between 0 and 1 . He multiplies each random number by 150 and rounds up to the next whole number to give a student number.
  1. Dominic's first random number is 0.392 . Find the student number that is produced by this random number.
  2. Dominic's second student number is 104 . Find a possible random number that would produce this student number.
  3. Explain briefly why five random numbers may not be enough to produce a sample of five student numbers.