2018> Assessment Due Sun 02/11/2018 11:59 A study was conducted to determine whe

Question

2018> Assessment Due Sun 02/11/2018 11:59 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 92.4% 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 12 of the students from the special programs are randomly selected, find the probability that at least 11 of them prob- If 12 of the students from the special programs are randomly selected, find the probability that exactly 9 of them prob- Would it be unusual to randomly select 12 students from the special programs and get exactly 9 that graduate? Round to at least 4 decimal places! Round to at least 4 decimal places! yes, it is unusual O no, it is not unusual If 12 of the students from the special programs are randomly selected, find the probability that at most 9 of them prob- Would it be unusual to randomly select 12 students from the special programs and get at most 9 that graduate? Round to at least 4 decimal places! yes, it is unusual no, it is not unusual Get help: Video MacBook Ai F7 F8 F9 0

Explanation / Answer

here we use binomial distribution with parameter n=12 and p=0.924 and for

Binomial distribution ,P(X=r)=nCrpr(1-p)n-r  

(first part)P(at least 11)=P(X>=11)=1-P(X<=10)=1-0.2304=0.7696 ( using ms-excel=BINOMDIST(10,12,0.924,1))

(second part)P(exactly 9)=P(X=9)=0.0474( using ms-excel =BINOMDIST(9,12,0.924,0)),

yes it is unusual

(third part) P(at most 9)=P(X<=9)= 0.0575( using ms-excel=BINOMDIST(9,12,0.924,1)

it is not unusal

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