Question 5 (7 points) 4)) Listen 3 If you make random guesses for 5 multiple-choice questions (each with 4 possible answers), what is the probability of getting at least one correct? ")1 3/4 .;;j :1 0.2373 i: :1 0.7627 Question 6 (7 points) 4)) Listen 3 What is the probability of rolling a three (dice) and then drawing the king of hearts (cards)? 1/ 6 * 1/ 52 .1: :3 1/6 * 4/52 1/2 * 1/13 Question 7 (7 points) :11) Listen E When you give a casino $5 for a bet on the "pass line" in the game of craps, there is 244/495 probability that you will win $5. (They give you $10 if you win, but the bet costs $5, so you actually only win $5.) There is a 251/495 probability that you will lose you $5. What is the expected value of your $5 bet? If :1 $-0.07 $-5.00 Question 8 (7 points) :11) Listen E Several students are unprepared for a multiple-choice quiz with 10 questions, and all their answers are guesses. Each question has four possible answers, and only one of them is correct. What is the mean and standard deviation for the number of correct answers for such students? mean = 1/4, standard deviation = 374 mean = 2.5, standard deviation = 1.37 mean = 2.5, standard deviation = 1.875 Question 9 (7 points) um) Listen 3 In a binomial, the mean = 2 and the standard deviation = 1.27. What is the maximum usual? 1 4.54 :1 2.27 I: :11 -O.54