The probability that the applicant did not take a test prep course and was admitted to the program. The probability that the applicant was admitted, given that they took a test prep course.

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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eado
The chart below summarizes the admissions results for 40 applicants to a competitive graduate program.
The program uses the results of a standardized placement test as part of its admissions criteria. Some of the
applicants took a test prep course for the placement test and some did not. If an applicant is randomly
selected, find the following probabilities:
Took
Did not
a) The probability that the applicant did not take a test prep
course and was admitted to the program.
test
take test
Total
prep
prep
course
course
admitted
14
19
Wait
4
7
listed
Not
6.
8.
14
admitted
b) The probability that the applicant was admitted, given
a that they took a test prep course.
Total
24
16
40
c) The probability that the applicant took a test prep course or was not admitted to the program.
1 annears on both dice (each die has one dot on the
3.
Transcribed Image Text:eado The chart below summarizes the admissions results for 40 applicants to a competitive graduate program. The program uses the results of a standardized placement test as part of its admissions criteria. Some of the applicants took a test prep course for the placement test and some did not. If an applicant is randomly selected, find the following probabilities: Took Did not a) The probability that the applicant did not take a test prep course and was admitted to the program. test take test Total prep prep course course admitted 14 19 Wait 4 7 listed Not 6. 8. 14 admitted b) The probability that the applicant was admitted, given a that they took a test prep course. Total 24 16 40 c) The probability that the applicant took a test prep course or was not admitted to the program. 1 annears on both dice (each die has one dot on the 3.
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