Statistics Assignment Help With Bayes Theorem
2.9 Bayes Theorem:
If E1, E1,………. En are mutually disjoint events with P(Ei) ≠0, (i= 1, 2,…….,n) then for any arbitrary event A which is a subset of such that P(A) >0 we have
, i =1, 2,…n
Since, we have
Since (i=1,2…..n) are mutually disjoint events, we have by addition theorem of probability
By compounded theorem of probability.
Also we have
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