55% of all engineering students prefer internship over final year project. Suppose 12 students are randomly selected and the number in favor of internship is recorded.Find the following:

a. The probability that exactly seven of them choose internship.

b. The probability that at most eight of them choose internship.

c. The probability that at least five of them choose internship.

d. The probability that at least seven, but no more than 10, choose internship.