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12. Researchers conducted a study to determine whether there were significant differences in graduation rates between...

12. 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 98​% for the medical students admitted through special programs in all medical schools. Complete parts​ (a) and​ (b) below.

If 13 of the students admitted through special programs are randomly​ selected, find the probability that at least 12 of them graduated.

The probability that at least 12 of the 13 students graduated is

Suppose a medical school has 13 students in one of the special programs of its medical program. Does the probability calculated in part​ (a) apply to these​ students?

A.​No, because the students admitted through a single special program at a specific medical school are not a random sample.

B.​No, because the students admitted through a single special program at a specific medical school are a random sample.

C.​Yes, because the students admitted through a single special program at a specific medical school are not a random sample.

D.​Yes, because the students admitted through a single special program at a specific medical school are a random sample.

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Answer #1

probability that at least 12 of the 13 students graduated =P(X=12)+P(X=13)

=13C12(0.98)12(0.02)1+13C13(0.98)13(0.02)0 =0.973049

A.​No, because the students admitted through a single special program at a specific medical school are not a random sample.

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