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State and prove Total Probability theorem and Bayes's theorem.
written 8.9 years ago by gravatar for teamques10 teamques10 ★ 70k •   modified 8.9 years ago

Mumbai University > Electronics and Telecommunication Engineering > Sem 5 > Random Signal Analysis

Marks: 10M

Year: May 2016
signals and systems
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written 8.9 years ago by gravatar for teamques10 teamques10 ★ 70k

Total Probability Theorem:

Statement: If $B_1$,$ B_2$, ……….$B_n$ be a set of exhaustive and mutually exclusive events and A is another event associated with (or caused by) B_i, then

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Proof:

The inner circle represents the event A. A can occur along with (or due to) $B_1$,$ B_2$, ……….$B_n$ that are …

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