Question

PLease help!!!!! I cannot get anyone to answer this correctly.... Please write legibly and provide answers for all parts of this one question:

Consider the following contingency table.

	B	Bc
A	19	25
Ac	31	25

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	Bc	Total
A
Ac
Total

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.)
  

Answer 1

	B	Bc	Total
A	0.19	0.25	0.44
Ac	0.31	0.25	0.56
Total	0.50	0.50	1

b) P(A)= 0.4400

$C) P(A\cap B) =0.1900$

d) P(A|B) =0.19/0.50= 0.3800

e) $e) P(B | Ac) = \frac{P(B \cap Ac)}{P(Ac)}$

=0.31/0.56= 0.5536