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The accompanying table shows the numbers of male and female students in aComplete parts (a) and (b) belowClick the icon to view the data on business degrees.particular country who received bachelor's degrees in business in a recent year.(a) Find the probability that a randomly selected student is male, given that the student received a business degree.The probability that a randomly selected student is male, given that the student received a business degree, is .504(Round to three decimal places as needed.)(b) Find the probability that a randomly selected student received a business degree, given that the student is female.The probability that a randomly selected student received a business degree, given that the student is female, is 0.160.(Round to three decimal places as needed.)iBusiness GraduatesBusiness degreesNonbusiness degreesTotal180,742Male623,814804,5561,112,8651,917,421177,806Female935,0591,558,873358,548TotalPrintDoneQuestion is complete. Tap on the red indicators to see incorrect answers.I

Question

I don't understand how to solve part (b). For my answer I used the number of females with degrees over the total number of degrees to get at answer of .504. How is .160 the correct answer?

The accompanying table shows the numbers of male and female students in a
Complete parts (a) and (b) below
Click the icon to view the data on business degrees.
particular country who received bachelor's degrees in business in a recent year.
(a) Find the probability that a randomly selected student is male, given that the student received a business degree.
The probability that a randomly selected student is male, given that the student received a business degree, is .504
(Round to three decimal places as needed.)
(b) Find the probability that a randomly selected student received a business degree, given that the student is female.
The probability that a randomly selected student received a business degree, given that the student is female, is 0.160.
(Round to three decimal places as needed.)
i
Business Graduates
Business degrees
Nonbusiness degrees
Total
180,742
Male
623,814
804,556
1,112,865
1,917,421
177,806
Female
935,059
1,558,873
358,548
Total
Print
Done
Question is complete. Tap on the red indicators to see incorrect answers.
I
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The accompanying table shows the numbers of male and female students in a Complete parts (a) and (b) below Click the icon to view the data on business degrees. particular country who received bachelor's degrees in business in a recent year. (a) Find the probability that a randomly selected student is male, given that the student received a business degree. The probability that a randomly selected student is male, given that the student received a business degree, is .504 (Round to three decimal places as needed.) (b) Find the probability that a randomly selected student received a business degree, given that the student is female. The probability that a randomly selected student received a business degree, given that the student is female, is 0.160. (Round to three decimal places as needed.) i Business Graduates Business degrees Nonbusiness degrees Total 180,742 Male 623,814 804,556 1,112,865 1,917,421 177,806 Female 935,059 1,558,873 358,548 Total Print Done Question is complete. Tap on the red indicators to see incorrect answers. I

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check_circleAnswer
Step 1

Given Data

Non-business
degrees
623814
Business Degrees
Total
Male
180742
804556
Female
177806
935059
1112865
Total
358548
1558873
1917421
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Non-business degrees 623814 Business Degrees Total Male 180742 804556 Female 177806 935059 1112865 Total 358548 1558873 1917421

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Step 2

a) probability that a randomly selected student is male, given that the student received a business degree

Let B denotes business degree, NB denotes non-business degree, M denotes male and F denotes female

Required probability

180742
1917421
358548
М
P
В
Р(MП B)
180742
0.504
Р(B)
358548
1917421
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180742 1917421 358548 М P В Р(MП B) 180742 0.504 Р(B) 358548 1917421

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Step 3

b)

Probability that a randomly elected student received a business degree, give...

177806
Р(BП F)
P(F)
177806
1917421
1112865
0. 1598 160
P
1112865
1917421
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177806 Р(BП F) P(F) 177806 1917421 1112865 0. 1598 160 P 1112865 1917421

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