The table describes (approximately) the distribution of students by gender and c
ID: 2927441 • Letter: T
Question
The table describes (approximately) the distribution of students by gender and college at a mid-sized public university in the West. Suppose that we will randomly select one student from this university College Liberal Science GenderEducation Engineering Male Female Agriculture Business Architecture Arts and Math 2200 1200 400 3000 1400 2300 2000 100 500 1000 1400 1100 2000 200 (a) What is the probability that the selected student is a male? (Give the answer to three decimal places.) (b) What is the probability that the selected student is in the College of Agriculture? (Give the answer to three decimal places.) (c) What is the probability that the selected student is a male in the College of Agriculture? (Give the answer to three decimal places.) (d) What is the probability that the selected student is a male who is not from Agriculture? (Give the answer to three decimal places.)Explanation / Answer
(a) Probability that selected student is a male
= Total number of male students / Total number of students = 11400 / 18800 = 0.606
(b) Probability that a selected student is in the college of agriculture =
Total number of students in the college of agriculture / Total number of students = 3400 / 18800 = 0.181
(c) Probability that a selected student is a male in the college of agriculture =
Total number of male students of agriculture college / total number of students = 2300 / 18800 = 0.122
(d) Probability that a selected student is a male who is not from agriculture =
Total number of male students who is not from agriculture / Total number of students
Total number of male students who is not from agriculture = Total number of male students - Total number of male students of agriculture college = 11400 - 2300 = 9100
Total number of male students who is not from agriculture / Total number of students = 9100 / 18800 = 0.484
Probability that a selected student is a male who is not from agriculture = 0.484
Gender Education Engineering Liberal Arts Science and math Agriculture Business Architecure Total Male 400 3000 2200 1400 2300 2000 100 11400 Female 500 1000 1200 1400 1100 2000 200 7400 Total 900 4000 3400 2800 3400 4000 300 18800Related Questions
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