Consider the following joint probability table. 10e Given that B 2 has occurred,

Question

Consider the following joint probability table.

         

10e Given that B2 has occurred, what is the probability that A occurs? (Round your intermediate calculations and final answers to 4 decimal places.)

Given that A has occurred, what is the probability that B4 occurs? (Round your intermediate calculations and final answers to 4 decimal places.)

B1 B2 B3 B4 A 0.17 0.10 0.13 0.12 Ac 0.17 0.11 0.11 0.09

         

10e Given that B2 has occurred, what is the probability that A occurs? (Round your intermediate calculations and final answers to 4 decimal places.)

10 f.

Given that A has occurred, what is the probability that B4 occurs? (Round your intermediate calculations and final answers to 4 decimal places.)

Explanation / Answer

10 e) P(A | B2)

= P(A and B2)/ P(B2)

= 0.10/ (0.10 + 0.11)

= 0.10/ 0.21

= 0.4762

10 f) P(B4 | A)

= P(B4 and A)/ P(A)

= 0.12/ (0.17 + 0.10 + 0.13 + 0.12)

= 0.12/ 0.52

= 0.2308

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