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Consider the following contingency table. B B c A 26 23 A c 26 25 a. Convert the contingency table into a joint probability table.(Round

Consider the following contingency table.

B Bc
A 26 23
Ac 26 25

a.

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

B

Bc

Total

A

Ac

Total

b. What is the probability thatAoccurs?(Round your intermediate calculations and final answer to 4 decimal places.)

Probability:

c. What is the probability thatAandBoccur?(Round your intermediate calculations and final answer to 4 decimal places.)

Probability:

d.

Given thatBhas occurred, what is the probability thatAoccurs?(Round your intermediate calculations and final answer to 4 decimal places.)

Probability:

e.

Given thatAchas occurred, what is the probability thatBoccurs?(Round your intermediate calculations and final answer to 4 decimal places.)

Probability:

f. AreAandBmutually exclusive events?
a. Yes becauseP(A|B) P(A).
b. Yes becauseP(AB) 0.
c. No becauseP(A|B) P(A).
d. No becauseP(AB) 0.

g. AreAandBindependent events?
a. Yes becauseP(A|B) P(A).
b. Yes becauseP(AB) 0.
c. No becauseP(A|B) P(A).

d. No becauseP(AB) 0.

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