**Business Graduates**The table below provides data on the number of graduates with business and nonbusiness degrees, broken down by gender.| | Business degrees | Nonbusiness degrees | Total ||-------------------|------------------|---------------------|-----------|| Male | 183,022 | 637,161 | 820,183 || Female | 170,628 | 930,697 | 1,101,325 || **Total** | 353,650 | 1,567,858 | 1,921,508 |**Analysis:**- **Business Degrees**: - There are 183,022 male graduates with business degrees and 170,628 female graduates. - The total number of business degree holders is 353,650.- **Nonbusiness Degrees**: - There are 637,161 male graduates with nonbusiness degrees and 930,697 female graduates. - The total number of nonbusiness degree holders is 1,567,858.- **Overall Graduates**: - The total number of male graduates is 820,183. - The total number of female graduates is 1,101,325. - The overall total number of graduates is 1,921,508. 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.(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 0.518. (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 [blank]. (Round to three decimal places as needed.) Note: The diagram or chart that provides detailed data on which these probabilities are calculated is accessible by clicking on an icon labeled for business degree data.

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Answered: (b) Find the probability that a…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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(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.)