Question

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. LOADING... 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 nothing. ​(Round to three decimal places as​ needed.)

	Business Degrees	Nonbusiness degress	Total
Male	195,764	626,886	825,650
Female	161,579	914,274	1,075,853
Total	357,343	1,544,160	1,901,503

Answer 1

Answer 2

SOLUTION :

a.

P (Male | Business degree) 

= 195764 / 357343

(Male in Business degree space)

= 0.548 (ANSWER)

b.

Given statement is not clear. 

It is assumed that , “ given that received business degree, is nothing ” is meant as “ given that received Non-Business degree). 

P (Male | Non-Business degree) 

= 626886 / 1544160

(Male in Non-Business degree space)

= 0.406 (ANSWER)