Suppose that the table below describes the approximate distribution of students by degree objective (undergraduate degree, graduate degree) and college at a university. You plan to randomly select one student from this university.
College
Degree
Objective Education Engineering Liberal Arts Science and Math Agriculture Business Architecture
Undergraduate 250 3,100 2,600 1,600 2,200 1,600 250
Graduate 350 900 1,600 1,600 1,000 1,600 350
(a) What is the probability that the selected student is an undergraduate student? (Round your answer to four decimal places.)
(b) What is the probability that the selected student is in the College of Agriculture? (Round your answer to four decimal places.)
(c) What is the probability that the selected student is an undergraduate in the College of Agriculture? (Round your answer to four decimal places.)
(d) What is the probability that the selected student is an undergraduate who is not in the College of Agriculture? (Round your answer to four decimal places.)
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(a) The probability that the selected student is an undergraduate student is:
Total number of undergraduate students / Total number of students
= (250 + 3100 + 2600 + 1600 + 2200 + 1600 + 250) / (250 + 3100 + 2600 + 1600 + 2200 + 1600 + 350 + 900 + 1600 + 1600 + 1000 + 1600 + 350)
= 13,600 / 15,600
= 0.8718
(b) The probability that the selected student is in the College of Agriculture is:
Number of undergraduate students in the College of Agriculture / Total number of students
= 2,200 / 15,600
= 0.1410
(c) The probability that the selected student is an undergraduate in the College of Agriculture is:
Number of undergraduate students in the College of Agriculture / Total number of undergraduate students
= 2,200 / 13,600
= 0.1618
(d) The probability that the selected student is an undergraduate who is not in the College of Agriculture is:
Number of undergraduate students not in the College of Agriculture / Total number of undergraduate students
= (250 + 3100 + 2600 + 1600 + 1600 + 250) / 13,600
= 9,400 / 13,600
= 0.6912
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