SAT 4 points possible (graded) Up until 2015, the SAT had a "guessing penalty". Consider an exam with 40 questions each with six possible choices. Only one is correct. Each correct answer is worth +20 points and each incorrect one is worth -5 points. Consider answering each question by rolling a six-sided die for each question and simply choosing the corresponding answer. What is your expected score for the first question? [Hintz First write your score for this question as aX + b where X N Ber (p) for some numbers a, b and p to be determined] What is the standard deviation of your total score on the exam? What is the probability that you score more than 400 points? Use the CLT. What is the probability that you score more than 600 points? Use the CLT