b. The director of admissions at a state college has taken a sample of recent admissions decisions and formed the following table regarding the admissions status (admitted, waiting list, denied admission) and the type of community in which an applicant resides (urban, suburban, rural). Urban Suburban Rural Admitted 65 42 56 Wait List 38 29 26 Denied 52 24 20 i. If an applicant is taken at random, what is the probability that the applicant is in the waiting list and resides in a rural area? ii. Given that an applicant resides in a suburban area, what is the probability that the applicant is admitted? iii. If an applicant is taken at random, what is the probability that the applicant has been denied admission?
b. The director of admissions at a state college has taken a sample of recent admissions decisions and formed the following table regarding the admissions status (admitted, waiting list, denied admission) and the type of community in which an applicant resides (urban, suburban, rural). Urban Suburban Rural Admitted 65 42 56 Wait List 38 29 26 Denied 52 24 20 i. If an applicant is taken at random, what is the probability that the applicant is in the waiting list and resides in a rural area? ii. Given that an applicant resides in a suburban area, what is the probability that the applicant is admitted? iii. If an applicant is taken at random, what is the probability that the applicant has been denied admission?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:b. The director of admissions at a state college has taken a sample of recent admissions decisions and formed
the following table regarding the admissions status (admitted, waiting list, denied admission) and the type
of community in which an applicant resides (urban, suburban, rural).
Urban
Suburban
Rural
Admitted
65
42
56
Wait List
38
29
26
Denied
52
24
20
i. If an applicant is taken at random, what is the probability that the applicant is in the waiting list and
resides in a rural area?
ii. Given that an applicant resides in a suburban area, what is the probability that the applicant is
admitted?
iii. If an applicant is taken at random, what is the probability that the applicant has been denied
admission?
iv. A randomly selected applicant turns out to be in the waiting list. Compute the probability that this
applicant resides in an urban area
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