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Two events ?1 and ?2 are defined on the same probability space such that: ?(?1 )...

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Statistics

Two events ?1 and ?2 are defined on the same probability spacesuch that: ?(?1 ) = 0.7 , ?(?2 ) = 0.5 , and ?(?1 ??? ?2 ) = 0.3.a) Find ?(?1 ?? ?2 ). b) Find ?(?1 | ?2 ). c) Are ?1 and ?2mutually exclusive (disjoint)? and why? d) Are ?1 and ?2independent? and why?

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SolutionWe are given two events 1 and 2 defined on the sameprobability space such thatPE1 07 PE2 05 and PE1and E2 03Part a We have to    See Answer
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