The accompanying table shows the numbers of male and female students in a particular country who received bachelor's degrees in business in a recent year. Complete parts (a) and (b) below. Click the icon to view the data on business degrees. (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. (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. (Round to three decimal places as needed.) - X Business graduates Total Business degrees Nonbusiness degrees 192,167 173,249 Male 616,454 808,621 1,056,907 1,865,528 Female 883,658 Total 365,416 1,500,112

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The accompanying table shows the numbers of male and female students in a particular country who received bachelor's degrees in business in a recent year.
Complete parts (a) and (b) below.
Click the icon to view the data on business degrees.
(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
(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
(Round to three decimal places as needed.)
Business graduates
Business degrees
Nonbusiness degrees
Total
Male
192,167
616,454
808,621
1,056,907
1,865,528
Female
173,249
883,658
Total
365,416
1,500,112
Transcribed Image Text:The accompanying table shows the numbers of male and female students in a particular country who received bachelor's degrees in business in a recent year. Complete parts (a) and (b) below. Click the icon to view the data on business degrees. (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 (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 (Round to three decimal places as needed.) Business graduates Business degrees Nonbusiness degrees Total Male 192,167 616,454 808,621 1,056,907 1,865,528 Female 173,249 883,658 Total 365,416 1,500,112
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Step 1

(a)

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

Statistics homework question answer, step 1, image 1

Therefore, the required probability is, 0.526.

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