The following table shows the number of students in three different degree progr
ID: 3129788 • Letter: T
Question
The following table shows the number of students in three different degree programs and whether they are graduate or undergraduate students:
Undergraduate
Graduate
Total
Business
150
50
200
Engineering
150
25
175
Arts & Sciences
100
25
125
Total
400
100
500
What is the probability that a randomly selected student is an undergraduate?
What percentage of students is engineering majors?
Given that a selected student is an undergraduate, what is the probability that he or she is a business major?
Undergraduate
Graduate
Total
Business
150
50
200
Engineering
150
25
175
Arts & Sciences
100
25
125
Total
400
100
500
Explanation / Answer
1- Probability that student selected is a undergraduate = total no' of undergraduate students/ total no' of students
= 400/500 = 0.8
2- Percentage of students in engineering major = (Total no' of engineering major students)/ (tatal no' of students)
= (175/500)*100 = 35%
3- Probability that a student is Business major, given that a selected student is undergraduate
= (number of business major undergraduate students)/ (total no of undergraduate students)
= 150/400 = 0.375
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