Complete the following probability table:

rochioblogmz 2022-10-29 Answered
Complete the following probability table:
Prior Probability Conditional Probability Join Probability Posterior Probability P ( B )   0.70 P ( A | B )   0.10 P ( A B )   0.07 P ( B | A ) P ( B C )   0.30 P ( A | B C )   0.65 P ( A B C ) P ( B C | A ) Total   1 P ( A ) Total   0.9999
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Answers (1)

honotMornne
Answered 2022-10-30 Author has 12 answers
Step 1
Given data
P ( B ) = 0.70 P ( B C ) = 0.30 Total = 1 P ( A | B ) = 0.10 P ( A | B C ) = 0.65 P ( A B ) = P ( B ) × P ( A | B ) = 0.70 × 0.10 = 0.07 P ( A B C ) = P ( B C ) × P ( A | B C ) = 0.30 × 0.65 = 0.195 P ( A ) = P ( A B ) + P ( A B C ) P ( A ) = 0.07 + 0.195 = 0.265 P ( B | A ) = P ( A B ) P ( A ) = 0.07 0.265 = 0.2641 P ( B C | A ) = P ( A B C ) P ( A ) = 0.195 0.265 = 0.7358 Total = P ( B | A P ( B C | A ) = 0.9999
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