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Which of the following can be the valid assignment of probability for outcomes of sample space, `S = {W_(1), W_(2), W_(3)}, {" where " W_(1), W_(2) " and " W_(3)` are mutually exclusive events
Assignment
`{:(,w_(1),w_(2),w_(3)),((a),0.4,0.2,0.8),((b),0,0,1),((c),-1/2,3/4,1/2),((d),1/2,1/2,1/4):}`

Text Solution

AI Generated Solution

To determine which of the given assignments of probability for the outcomes of the sample space \( S = \{ W_1, W_2, W_3 \} \) is valid, we need to check each option against the following conditions: 1. The sum of the probabilities must equal 1. 2. Each probability must be non-negative. Let's analyze each option step by step. ### Step 1: Check Option A ...
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