A study was conducted to determine whether there were significant differences be

Question

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 91.1% for the medical students admitted through special programs.

If 10 of the students from the special programs are randomly selected, find the probability that at least 9 of them graduated. round your answer to 4 decimal places prob =

If 10 of the students from the special programs are randomly selected, find the probability that eactly 7 of them graduated. round your answer to 4 decimal places prob = Would it be unusual to randomly select 10 students from the special programs and get exactly 7 that graduate?

yes, it is unusual no, it is not unusual?

If 10 of the students from the special programs are randomly selected, find the probability that at most 7 of them graduated. round your answer to 4 decimal places prob = Would it be unusual to randomly select 10 students from the special programs and get at most 7 that graduate?

yes, it is unusual no, it is not unusual?

Explanation / Answer

p = 0.911

n = 10

P(X = x) = 10Cx * 0.911x * (1 - 0.911)9-x

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

= 10C9 * 0.9119 * 0.0891 + 10C10 * 0.91110 * 0.0890

= 0.7784

B) P(X = 7) = 10C7 * 0.9117 * 0.0893 = 0.0441

Yes it is unusual, because probability is less than 0.05

C) P(X < 7) = 1 - (P(X =8) + P(X =9) + P(X = 10))

= 1 - 0.9475

= 0.0525

No it is not unusual

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