SPS SPS FM Statistics 2024 April — Question 6

Exam BoardSPS
ModuleSPS FM Statistics (SPS FM Statistics)
Year2024
SessionApril
TopicProbability Definitions
TypeIndependent events test

6. For the events \(A\) and \(B\), $$\mathrm { P } \left( A \cap B ^ { \prime } \right) = 0.32 , \quad \mathrm { P } \left( A ^ { \prime } \cap B \right) = 0.11 \quad \text { and } \quad \mathrm { P } ( A \cup B ) = 0.65$$
  1. Find \(\mathrm { P } \left( A \mid B ^ { \prime } \right)\).
  2. Determine whether or not \(A\) and \(B\) are independent.