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. business degrees nonbusiness degrees total male 189131 634650 823781 female 169539 885329 1054868 total 358670 1519979 1878649 (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 nothing. (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 nothing. (round to three decimal places as needed.)

Solution:

Probability of an event

The table showing numbers of male and female students in a particular country who received bachelor's degrees in business in a recent year.

         business degrees   Non-business degrees         total

male           189131                  634650                            823781

female       169539                885329                             1054868

total           358670                 1519979                            1878649

We will use Bay's theorem to answer this question.

M=Male, F= Female, B=Business degree

(a)Probability that a randomly selected student is male, given that the student received a business degree.

You can calculate it directly,

(b)  The probability that a randomly selected student received a business degree, given that the student is Female

step by step solution :

step   1   :

1.1     4 = 22

(4)3 = (22)3 = 26

equation at the end of step   1   :

  ((23) • 26)2

step   2   :

equation at the end of step   2   :

  (23 • 26)2

step   3   :

final result :

  218

ya

answer:

24pi or letter c