CAIE S1 2014 June — Question 3

Exam BoardCAIE
ModuleS1 (Statistics 1)
Year2014
SessionJune
TopicHypergeometric Distribution
TypeComplete probability distribution table

3 A pet shop has 6 rabbits and 3 hamsters. 5 of these pets are chosen at random. The random variable \(X\) represents the number of hamsters chosen.
  1. Show that the probability that exactly 2 hamsters are chosen is \(\frac { 10 } { 21 }\).
  2. Draw up the probability distribution table for \(X\).