A test consists of 10 true/false questions. To pass the test a student must answer at least 8 questions correctly. a. If a student guesses on each question, what is the probability that the student will answer 6 questions correctly? Round your answer to the nearest hundredth.

b. If a student guesses on each question, what is the probability that the student will pass the test? Round your answer to the nearest hundredth.

c. Find the expected number of correct answers for a student? Round your answer to the nearest hundredth.

d. Find the standard deviation of the number of correct answers. Round your answer to the nearest hundredth.

e. Is it unusual for a student to pass by guessing? Explain.