A study was conducted to determine whether there were signif

A study was conducted to determine whether there were significant differences between medical students admitted through special programs (such as affirmative action) and medical students admitted with regular admissions criteria. It was found that the graduation rate was 94% for the medical students admitted through special programs.

a) If 10 of the students from the special programs are randomly selected, find the probability that at least 9 of them graduated.

b) Would it be unusual to randomly select 10 students from the special programs and get only 7 that graduate? Why or why not?

Solution

A study was conducted to determine whether there were significant differences between medical students admitted through special programs (such as affirmative action) and medical students admitted with regular admissions criteria. It was found that the graduation rate was 94% for the medical students admitted through special programs.

P=0.94

n=10

x=9

Binomial probability used

P( x >=9) = p( x=9) + p( x=10)

= 0.3438+ 0.5386

= 0.8824

b) Would it be unusual to randomly select 10 students from the special programs and get only 7 that graduate? Why or why not?

P=0.94

n=10

x=7

P( x=7) = 0.0168

Calculated P=0.0168 which is less than 0.05.

It is unusual.