SOLUTION: Can someone help me to solve this problem. Thx in adv. At the college of Old Westbury, 20% of the students are business majors and the rest major in something else. Although 70

Algebra ->  Probability-and-statistics -> SOLUTION: Can someone help me to solve this problem. Thx in adv. At the college of Old Westbury, 20% of the students are business majors and the rest major in something else. Although 70      Log On


   

Question 318374: Can someone help me to solve this problem. Thx in adv.
At the college of Old Westbury, 20% of the students are business majors and the rest major in something else. Although 70% of the students majors take finite mathematics, only 10% of the other majors take finite mathematics. A student is chosen at random. She is taking finite mathematics. What is the probability she is a business major?
Can you show me how you did it, this way I learn how to do it too. Thx.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The solution is a long story.
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P(bm|fm) = P(bm and fm)/P(fm)
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= P(bm and fm)/[P(fm and bm)+P(fm and not bm)]
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= [0.2*0.7]/[0.2*0.7 + 0.1*0.8] = 0.14/0.22 = 7/11
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Cheers,
Stan H.