A psychology quiz consists of 20 multiple chice questions with five possible answers for each question. A student, say John, is totally unprepared so randomly guesses the answer to each question. This...

Extracted text: A psychology quiz consists of 20 multiple chice questions with five possible answers for each question. A student, say John, is totally unprepared so randomly guesses the answer to each question. This means that John has a probability of 1/5 = .20 of getting any particular problem correct. Let X equal the number of questions out of the 20 questions that John gets correct. Do the calculations below using R. --- LIIE /ULI pe. f. What is the expected value of X? 4 g. What is the variance of X?3.2 h. What is the standard deviation of X? 1.788854