2. The data below show the admission status and gender for a sample of applicants to State U. Total 2590 1835 4425 Male Female Total Accepted Not Accepted 1191 557 1748 1399 1278 2677 (a) What is the probability a randomly selected applicant is accepted to State U? Interpret this result. (b) What is the probability a randomly selected applicant is accepted or female? (c) What is the probability a randomly selected applicant is accepted given the student is female? (d) Are the events accepted and female independent? Justify.

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Question 2 Please solve with simple probability rules
2. The data below show the admission status and gender for a sample of applicants to State U.
Total
2590
1835
4425
Male
Female
Total
Accepted Not Accepted
1191
557
1748
1399
1278
2677
(a) What is the probability a randomly selected applicant is accepted to State U? Interpret this result.
(b) What is the probability a randomly selected applicant is accepted or female?
(c) What is the probability a randomly selected applicant is accepted given the student is female?
(d) Are the events accepted and female independent? Justify.
Transcribed Image Text:2. The data below show the admission status and gender for a sample of applicants to State U. Total 2590 1835 4425 Male Female Total Accepted Not Accepted 1191 557 1748 1399 1278 2677 (a) What is the probability a randomly selected applicant is accepted to State U? Interpret this result. (b) What is the probability a randomly selected applicant is accepted or female? (c) What is the probability a randomly selected applicant is accepted given the student is female? (d) Are the events accepted and female independent? Justify.
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