Edexcel S2 2021 June — Question 4

Exam BoardEdexcel
ModuleS2 (Statistics 2)
Year2021
SessionJune
TopicDiscrete Random Variables
TypeSampling distribution of range or maximum

  1. A bag contains a large number of balls, each with one of the numbers 1,2 or 5 written on it in the ratio \(2 : 3 : 4\) respectively.
A random sample of 3 balls is taken from the bag.
The random variable \(B\) represents the range of the numbers written on the balls in the sample.
  1. Find \(\mathrm { P } ( B = 4 )\)
  2. Find the sampling distribution of \(B\).