Question 838613
Let P(A) = 0.43, P(B) = 0.18, and P(A|B) = 0.38.<pre>P(A|B) = P(A&#8898;B)/P(B)
0.38  = P(A&#8898;B)/0.18</pre>a. Calculate P(A&#8898;B). (Round your answer to 3 decimal places.)<pre>P(A|B) =  P(A&#8898;B)/P(B)
0.38  =  P(A&#8898;B)/0.18
Multiply both sides by 0.18
0.0684 =  P(A&#8898;B)</pre>b. Calculate P(A&#8899;B). (Round your answer to 3 decimal places.)<pre>P(A&#8899;B) = P(A)+P(B)-P(A&#8898;B) = 0.43+0.18-0.0684 = 0.5416</pre>c. Calculate P(B|A). (Round your answer to 3 decimal places.)<pre>P(B|A) = P(B&#8898;A)/P(A), and since P(B&#8898;A) = P(A&#8898;B) = 0.0684 
P(B|A) = 0.0684/0.43 = 0.1590697674

You do the rounding off.

Edwin</pre>