How do I answer this question?

A multiple choice test has 6 questions. Each question has four possible answers with one correct answer per question. Suppose that a student answer each question randomly, picking each answer with equal probability (the student's answers are independent across questions). Let X denote the number of correct answers from the student. You can take as a given that E (X) = 1.5 and E(X2) = 3.375. Which of the following statements is FALSE? (Hint: You can use R for quick computation.) O Suppose that the student's final grade is curved and equals Y = 2X - 1. Then the student's expected final grade is E(Y) = 2. O Suppose that the student passes the exam if she answers strictly more than half of the questions correctly. Then the probability she passes the exam is 0.03759766 O Var(X) = 1.875 O Suppose that the student passes the exam if she answers strictly more than half of the questions correctly. Given that she passed the exam, the probability that she answered all the questions correctly is 0.006493506