Consider the following contingency table.

	B	Bc
A	20	12
Ac	50	18

a. Convert the contingency table into a joint probability table. (Round intermediate calculations to at least 4 decimal places and final answer to 4 decimal places.)

b. What is the probability that A occurs? (Round intermediate calculations to at least 4 decimal places and final answer to 4 decimal places.)

c. What is the probability that A and B occur? (Round intermediate calculations to at least 4 decimal places and final answer to 4 decimal places.)

d. Given that B 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.)

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

f. Are A and B mutually exclusive events?

multiple choice 1

• Yes because P(A | B) ≠ P(A).

• Yes because P(A ∩ B) ≠ 0.

• No because P(A | B) ≠ P(A).

• No because P(A ∩ B) ≠ 0.

g. Are A and B independent events?

multiple choice 2

• Yes because P(A | B) ≠ P(A).

• Yes because P(A ∩ B) ≠ 0.

• No because P(A | B) ≠ P(A).

• No because P(A ∩ B) ≠ 0

Answer rating: 100% (QA)

Answer To convert the contingency table into a joint probability table you need to find the probabil... View the full answer