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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