A study was conducted to determine whether there were significant differences between medical students admitted through special programs (such as retention incentive and guaranteed placement programs) and medical students admitted through the regular admissions criteria. It was found that the graduation rate was 92.9% for the medical students admitted through special programs. a) If 12 of the students from the special programs are randomly selected, find the probability that at least 11 of them graduated. b) If 12 of the students from the special programs are randomly selected, find the probability that exactly 9 of them graduated. c) Would it be unusual to randomly select 12 students from the special programs and get exactly 9 that graduate? Explain.

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1.
A study was conducted to determine whether there were significant differences between medical
students admitted through special programs (such as retention incentive and guaranteed placement
programs) and medical students admitted through the regular admissions criteria. It was found that the
graduation rate was 92.9% for the medical students admitted through special programs.
a) If 12 of the students from the special programs are randomly selected, find the probability that at
least 11 of them graduated.
b) If 12 of the students from the special programs are randomly selected, find the probability that
exactly 9 of them graduated.
c) Would it be unusual to randomly select 12 students from the special programs and get exactly 9 that
aduate? Explain.
d) If 12 of the students from the special programs are randomly selected, find the probability that at
least 3 of them DO NOT GRADUATE. Would this be an unusual event?
Transcribed Image Text:1. A study was conducted to determine whether there were significant differences between medical students admitted through special programs (such as retention incentive and guaranteed placement programs) and medical students admitted through the regular admissions criteria. It was found that the graduation rate was 92.9% for the medical students admitted through special programs. a) If 12 of the students from the special programs are randomly selected, find the probability that at least 11 of them graduated. b) If 12 of the students from the special programs are randomly selected, find the probability that exactly 9 of them graduated. c) Would it be unusual to randomly select 12 students from the special programs and get exactly 9 that aduate? Explain. d) If 12 of the students from the special programs are randomly selected, find the probability that at least 3 of them DO NOT GRADUATE. Would this be an unusual event?
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