Problem 18. (1 point) The exam scores on a certain Society of Actuaries (SOA) profes- sonal examination are Normally distributed with a mean score of U = 68% and a standard deviation of o = 6%. (a) What is the probability that a random chosen person who is writing this SOA exam will score at most 69%? Note, when finding/using z-values, use three decimals. (use four decimals in your answer) (b) What proportion of all persons writing this SOA Exam will score between 74% and 81% on the exam? Use four decimals in your answer. (c) 31% of all persons writing this SOA Examination will not pass. What is the minimum mark needed to pass this exam? Enter your answer to two decimal places, and enter as a percentage. % Answer(s) submitted: (incorrect)