The exam scores on a certain Society of Actuaries (SOA) professonal examination are Normally distributed with a mean score of μ = 66% and a standard deviation of a = 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) 26% 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.
The exam scores on a certain Society of Actuaries (SOA) professonal examination are Normally distributed with a mean score of μ = 66% and a standard deviation of a = 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) 26% 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.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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 = 66%
and a standard deviation of g = 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) 26% 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.
%](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F45805429-952a-4b4d-83d8-b1019bf9e8fd%2F4704d036-e918-4677-8eca-f4dc4d7ab6ef%2F7dobktb_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The exam scores on a certain Society of Actuaries (SOA) professonal examination are Normally distributed with a mean score of μ = 66%
and a standard deviation of g = 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) 26% 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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