Statistics question

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 90.6% for the medical students admitted through special programs. Be sure to enter at least 4 digits of accuracy for this problem!

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

Answer 1

can use binomial formula to compute probability

x n-x

P(x successes in n tries) = n! p (1-p)

----

x! (n-x)!

where p is probability of success.

Compute probability for x = 9 and x = 10 and p = 0.906 and n = 10 then add probabilities (answer should be 0.759).