Chargalot University’s Graduate School of Business reports that 37% of its stude
ID: 3042169 • Letter: C
Question
Chargalot University’s Graduate School of Business reports that 37% of its 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 student population at Chargalot. Students cannot have both an engineering and a social science background. Some students have neither an engineering nor a social science background.
(a) What is the probability that a randomly chosen Chargalot University graduate student is a business school student with a social science background?
(b) What is the probability that a randomly chosen Chargalot University graduate student is neither a business school student with an engineering background nor a business school student with a social science background?
Explanation / Answer
a)
probability that a randomly chosen Chargalot University graduate student is a business school student with a social science background =0.18*0.24=0.0432
b)student is a business school student with either enginering or social science background
=0.18*(0.24+0.37)=0.1098
therefore probability that a randomly chosen Chargalot University graduate student is neither a business school student with an engineering background nor a business school student with a social science background
=1-P( business school student with either enginering or social science background)
=1-0.1098 =0.8902
(please revert)