Ask Question
14 June, 03:12

Among undergraduate students living on a college campus, 20% have an automobile. Among undergraduate students living off campus, 60% have an automobile. Among undergraduate students, 30% live on campus. Given the probabilities of the following events when a student is selected at random:

(a) Student lives off campus.

(b) Student lives on campus and has an automobile.

(c) Student lives on campus and does not have an automobile.

(d) Student lives on campus and/or has an automobile.

(e) Student lives on campus given that he/she does not have an automobile.

+3
Answers (1)
  1. 14 June, 06:41
    0
    Answer: a) 70%

    b) 6%

    c) 24%

    d) and: 6%

    or: 66%

    e) 46.2%

    Step-by-step explanation:

    Living on campus = 30%

    Living off Campus = 70%

    Living on campus with car = 20% of 30% = 0.2 x 0.3 = 0.06 = 6%

    Living on campus w/o car = 80% of 30% = 0.8 x 0.3 = 0.24 = 24%

    Living off campus with car = 60% of 70% = 0.6 x 0.7 = 0.42 = 42%

    Living off campus w/o car = 40% of 70% = 0.4 x 0.7 = 0.28 = 28%

    a) 70%

    b) 6%

    c) 24%

    d) Student lives on campus and has an automobile: 6%

    Student lives on campus or has an automobile = 66%

    living on campus 30%

    students with car = 6% (on campus) 42% (off campus)

    30 - 6 + 42 = 66

    e) P (living on campus/not have a car) = P (living on campus w/o a car) / P (not have a car)

    P (living on campus w/o a car) = 24

    P (not have a car) = 24+28 = 52

    P (living on campus/not have a car) = 24/52 = 0.462 = 46.2%
Know the Answer?
Not Sure About the Answer?
Find an answer to your question ✅ “Among undergraduate students living on a college campus, 20% have an automobile. Among undergraduate students living off campus, 60% have ...” in 📘 Mathematics if you're in doubt about the correctness of the answers or there's no answer, then try to use the smart search and find answers to the similar questions.
Search for Other Answers