Suppose that a business school reports that 37% of its graduate students have an engineering background, and 24% have a social science background. In addition, the university’s annual report indicates that the students in its business school comprise 18% of the total graduate population at the entire university. (a) What is the probability that a randomly chosen university graduate student student is a business school student with a social science background? (b) What is the probability that a randomly chosen university graduate student is neither a business school student with an engineering background nor a business school student with a social science background?

In addition, the university’s annual report indicates that the students in its business school comprise 18% of the total graduate population at the entire university.

a) What is the probability that a randomly chosen university graduate student student is a business school student with a social science background?

Prob for business school student and social science background

= [tex]0.18*0.24\\=0.0432[/tex]

(b) What is the probability that a randomly chosen university graduate student is neither a business school student with an engineering background nor a business school student with a social science background?

Prob neither business schools student with an engineering background nor a business school student with a social science background

=[tex]1-0.18(0.24+0.37)\\=1-0.1098\\=0.9902[/tex]