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.

For i. 10 choose 5 ((.15)^5)(.85^5)

For ii. I added the probabilities of of two and 3 together