Researchers conducted a study to determine whether there were significant differ

Question

Researchers conducted a study to determine whether there were significant differences in graduation rates between medical students admitted through special programs and medical students admitted through the regular admissions criteria. It was found that the graduation rate was 94% for the medical students admitted through special programs in all medical schools. Complete parts (a) and (b) below. a. If 10 of the students admitted through special programs are randomly selected, find the probability that at least 9 of them graduated. The probability that at least 9 of the 10 students graduated is . (Round to three decimal places as needed.)

Explanation / Answer

p = 0.94

n = 10

P(X = x) = 10Cx * 0.94x * (1 - 0.94)10-x

P(X > 9) = P(X = 9) + P(X = 10)

              = 10C9 * 0.949 * 0.061 + 10C10 * 0.9410 * 0.060

              = 0.882 (ans)

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