Question

0.1881 correct 70.08 70.08 incorrect At least one of the answers above is NOT correct. (1 point) The exam scores on a certain Society of Actuaries (SOA) professonal examination are Normally distributed with a mean score of fi = 66% and a standard deviation of = 7% (a) What is the probability that a random chosen person who is writing this SOA exam will score at most 60%? Note, when finding using -values, use three decimals 0.500 (use four decimals in your answer) (b) What proportion of all persons writing this SOA Exam will score between 72% and 83% on the exam? Use four decimals in your answer. 0.1881 (C) 33% 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 70.08 Preview My Answers Submit Answers Your score was recorded You have attempted this problem 2 times You received a score of 66% for this attempt Your overall recorded score is 60% You have 4 attempts remaining

Answer 1

a. the probasin let X be the SOA exam seere xu N(0.66, 60,07) ²) +-0.6b u N(0,1) e probability that a randon chosen person who is written SOA exam will Score at most 66% is gireen by PLX < 0.66] = Plzcol = 10.500 6. the proortion of all persons writteng The SOA exam will sure between 72% te 83% is given by PL 0.722 X 2 0.837 = [0.1881) & pass The minimum marks needed te the enam is given by im nehote. PLX um] = 0.33 - m - 0.6292 Miniman Marks = 162.92% Thank Giving thumbs Up. You. Please, Consider