Chargalot University’s Graduate School of Business reports that 37% of its stude
ID: 3041376 • 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 back- ground?
(b) What is the probability that a randomly chosen Chargalot University graduate student is neither a business school student with an engineer- ing background nor a business school student with a social science back- ground?
Explanation / Answer
a) The Probability will be zero since it is given that Students cannot have both an engineering and a social science background, means their intersection is zero and thus the required probability
b) Probability = 1-(0.37+0.24) = 0.39
So, there is 0.39 chance that randomly chosen Chargalot University graduate student is neither a business school student with an engineer- ing background nor a business school student with a social science back- ground