Consider the following joint probability table B 1 B 2 B 3 B 4 A 0 14 0 10 0 15 0 09 A c 0 15 0 17 0 10 0 10 a What is the probability that A occurs (Round your answer to 2 decimal places ) b What is the probability that B 2 occurs (Round your answer to 2 decimal places ) c What is the probability that A c and B 4 occur (Round your answer to 2 decimal places ) d What is the probability that A or B 3 occurs (Round your answer to 2 decimal places ) e Given that B 2 has occurred, what is the probability that A occurs (Round intermediate calculations to at least 4 decimal places and final answer to 4 decimal places ) f Given that A has occurred, what is the probability that B 4 occurs (Round intermediate calculations to at least 4 decimal places and final answer to 4 decimal places )

Question: Consider the following joint probability table. B 1 B 2 B 3 B 4 A 0.14 0.10 0.15 0.09 A c 0.15 0.17 0.10 0.10

Consider the following joint probability table.

	B₁	B₂	B₃	B₄
A	0.14	0.10	0.15	0.09
A^c	0.15	0.17	0.10	0.10

a. What is the probability that A occurs? (Round your answer to 2 decimal places.)

b. What is the probability that B₂ occurs? (Round your answer to 2 decimal places.)

c. What is the probability that A^c and B₄ occur? (Round your answer to 2 decimal places.)

d. What is the probability that A or B₃ occurs? (Round your answer to 2 decimal places.)

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

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

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