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Problem 3: 20 points = [5 + 5 + 5 + 5] Instructors assume that test scores follow (approximately) normal distribution, N [68, 10]. Thus if X is a score of a randomly selected student, then X~N[,u=68, 0:10] Answer questions below using XtoZ and Z-toX conversion rules. 1. Find preportion of students with scores within the interval 50 g X S 75 2. What X -values corre3pond to z-scores equal to :|:1.96 3. Determine the chance that a randomly selected student has score above 60. 4. What preportion of students' scores would be in the interval (68 S X S 82)? Solution