There are 10 questions on a true-false test. A student feels unprepared for this test and randomly guesses the answer for each of these.
a) What is the probability that the student gets exactly 7 correct?
b) What is the probability that the student gets exactly 8 correct?
c) What is the probability that the student gets exactly 9 correct?
d) What is the probability that the student gets exactly 10 correct?
e) What is the probability that the student gets more than 6 correct?