SPS SPS FM Statistics 2021 June — Question 2

Exam BoardSPS
ModuleSPS FM Statistics (SPS FM Statistics)
Year2021
SessionJune
TopicConditional Probability
TypeGiven conditional, find joint or marginal

2. Events \(A\) and \(B\) are such that \(P ( A \cup B ) = 0.95 , P ( A \cap B ) = 0.6\) and \(P ( A \mid B ) = 0.75\).
i. Find \(P ( B )\).
ii. Find \(P ( A )\).
iii. Show that the events \(A ^ { \prime }\) and \(B\) are independent.
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