Assuming I.I.D part i and ii are correct although for clarification you should show us the numeric answer for ii.
Not sure if I am right. Help greatly appreciated
A study carried out nationwide suggested that 15% of Irish men are diabetic. A random
sample of 10 men is selected from the population and each is tested for diabetes. Calculate
the probability that:
(i) exactly 5 are diabetic.
(ii) At least two and at most three are diabetic.
i. 10 choose 5 ((.15)^5)(.85^5)
ii. I added the probabilities of of two and 3 together