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In: Statistics and Probability

A study was conducted to determine whether there were significant differences between medical students admitted through...

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.

If 12 of the students from the special programs are randomly selected, find the probability that at least 11 of them graduated. prob = (Round to at least 4 decimal places!)

If 12 of the students from the special programs are randomly selected, find the probability that exactly 9 of them graduated. prob = (Round to at least 4 decimal places!)

Would it be unusual to randomly select 12 students from the special programs and get at least 11 that graduate?

Would it be unusual to randomly select 12 students from the special programs and get exactly 9 that graduate?

If 12 of the students from the special programs are randomly selected, find the probability that at most 9 of them graduated. prob = (Round to at least 4 decimal places!)

Would it be unusual to randomly select 12 students from the special programs and get at most 9 that graduate?

Solutions

Expert Solution

If 12 of the students from the special programs are randomly selected, find the probability that at least 11 of them graduated. prob

P(x>=11) = P(x=11)+P(x=12) = 0.3790+0.4132 = 0.7922

If 12 of the students from the special programs are randomly selected, find the probability that exactly 9 of them graduated. prob

P(x=9) = 0.0406

Would it be unusual to randomly select 12 students from the special programs and get at least 11 that graduate?

NO! Probability is >0.05

Would it be unusual to randomly select 12 students from the special programs and get exactly 9 that graduate?

Yes! Probability is < 0.05​

If 12 of the students from the special programs are randomly selected, find the probability that at most 9 of them graduated. prob = (Round to at least 4 decimal places!)

P(x<=9) = 0.0485

Would it be unusual to randomly select 12 students from the special programs and get at most 9 that graduate?

Yes! Probability is < 0.05​

orchestra answered 1 year ago
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