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?