The exam scores on a certain Society of Actuaries (SOA) professonal examination are Normally distributed with a mean score of μ=67% and a standard deviation of σ=5%. (a) What is the probability that a random chosen person who is writing this SOA exam will score at most 66%? Note, when finding/using z-values, use three decimals. (use four decimals in your answer)

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The exam scores on a certain Society of Actuaries (SOA) professonal examination are Normally distributed with a mean score of μ=67% and a standard deviation of σ=5%.

(a) What is the probability that a random chosen person who is writing this SOA exam will score at most 66%?

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 82% 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 

 
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