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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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
Transcribed Image Text: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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