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Researchers conducted a study to determine whether there were significant differences in graduation rates between medical students admitted through special programs (such as affirmative action)

Researchers conducted a study to determine whether there were significant differences in graduation rates between medical students admitted through special programs (such as affirmative action) and medical students admitted through the regular admissions criteria. It was found that the graduation rate was 88% for the medical students admitted through special programs.

If 8 of the students from the special programs are randomly selected, find the probability that exactly 5 of them graduated.

If 8 of the students from the special programs are randomly selected, find the probability that fewer than 4 of them graduated.

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