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 92% for the medical students admitted through special programs. Use the binomial distribution, an event is considered unusual if it has a probability of less than 5%. If 11 of the students from the special programs are randomly selected, find the probability that at least 10 of them graduated. prob Round to at least 4 decimal places! If 11 of the students from the special programs are randomly selected, find the probability that exacily 8 of them graduated prob = Round to at least 4 decimal places! Would it be unusual to randomly select 11 students from the special programs and get exactly 8 that graduate? yes, it is unusual Ono, it is not unusual If 11 of the students from the special programs are randomly selected, find the probability that at most 8 of them graduated prob- Round to at least 4 decimal places! Would it be unusual to randomly select 11 students from the special programs and get at most 8 that graduate? Ono, it is not unusual Oyes, it is unusual Get help: Video

Explanation / Answer

a) P( at least 10 )=P(10)+P(11) = 11C10 * 0.92^10*0.08 +0.92^11=11 * 0.92^10*0.08 +0.92^11 =0.78189

b)P( exactly 8 ) = 11!/(8!*3!)*0.92^8*0.98^3= 0.0433

c) Yes it is unusual since probabiliy is less than 0.05

d) P(at most 8) = 1-P(9 0r 10 or 11) = 1- 11!/(9!*2!)*0.92^9*0.08^2-11 * 0.92^10*0.08 +0.92^11 = 0.8511

No, it is not unusual.

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