Question

(1 point) The exam scores on a certain Society of Actuaries (SOA) professonal examination are Normally distributed with a mean score of u 63% and a standard deviation of o= 7%. (a) What is the probability that a random chosen person who is writing this SOA exam will score at most 65%? 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 71% and 83 % on the exam? Use four decimals in your answer (c) 27% 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 1

Q. 4 = 63.1., 6-7%., Z. X-u. 2-63 7 @ Pl* = 65): Pizsa) - P(240.29) = 10.6141| P(715x5 83)= P(5x520) = P(1.14574 2.86) = P125 2.86)- Plzc1.14)- 0.9979 - 0.8729=10.1250 @ PlzEz)= 0.27 Z= -0.61 277 2-63 = – 0.61 NVODA 2-20 Amin = 158.73)