Question

2) 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 89.7% for the medical students admitted through special programs. Be sure to enter at least 4 digits of accuracy for this problem!

If 9 of the students from the special programs are randomly selected, find the probability that at least 8 of them graduated.         prob = -------- At least 4 digits!

If 9 of the students from the special programs are randomly selected, find the probability that exactly 6 of them graduated. prob = ------------ At least 4 digits!

Would it be unusual to randomly select 9 students from the special programs and get exactly 6 that graduate?

no, it is not unusual

yes, it is unusual

If 9 of the students from the special programs are randomly selected, find the probability that at most 6 of them graduated. prob = --------------At least 4 digits!

Would it be unusual to randomly select 9 students from the special programs and get at most 6 that graduate?

yes, it is unusual

no, it is not unusual

Would it be unusual to randomly select 9 students from the special programs and get only 6 that graduate?

No, it is not unusual

Yes, it is unusual

Answer 1

If 9 of the students from the special programs are randomly selected, find the probability that at least 8 of them graduated.

Answer: The sample size of 9 students will have a binomial distribution with parameter n and p. The distribution can be represented as;

Now, the required probability,

If 9 of the students from the special programs are randomly selected, find the probability that exactly 6 of them graduated. prob = ------------ At least 4 digits!

Would it be unusual to randomly select 9 students from the special programs and get exactly 6 that graduate?

Answer: yes, it is unusual

The probability of exactly 6 graduated in a sample of 9 is very less hence it is very unusual

If 9 of the students from the special programs are randomly selected, find the probability that at most 6 of them graduated. prob = --------------At least 4 digits!

Would it be unusual to randomly select 9 students from the special programs and get at most 6 that graduate?

Answer: yes, it is unusual

The probability of at most 6 graduated in a sample of 9 is very less hence it is very unusual

Would it be unusual to randomly select 9 students from the special programs and get only 6 that graduate?

Answer: yes, it is unusual