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/(1 point) The exam scores on a certain Society of Actuaries (SOA) professonal examination are Normally distributed with a mean score of j = 70% and a standard deviation of o = 7%. (a) Compute the probability that a random chosen person who is writing this SOA exam will score at most 67%. (use four decimals in your answer) (b) What proportion of all persons writing this SOA Exam will score between 74% and 83% on the exam? Use four decimals in your answer. (c) 28% 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. %

Question
(1 point) The exam scores on a certain Society of Actuaries (SOA) professonal examination are Normally distributed with a mean score of j = 70% and a standard deviation of o = 7%. (a) Compute the probability that a random chosen person who is writing this SOA exam will score at most 67%. (use four decimals in your answer) (b) What proportion of all persons writing this SOA Exam will score between 74% and 83% on the exam? Use four decimals in your answer. (c) 28% 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. %

5ZQX0PThe Asker · Probability and Statistics

Transcribed Image Text: (1 point) The exam scores on a certain Society of Actuaries (SOA) professonal examination are Normally distributed with a mean score of j = 70% and a standard deviation of o = 7%. (a) Compute the probability that a random chosen person who is writing this SOA exam will score at most 67%. (use four decimals in your answer) (b) What proportion of all persons writing this SOA Exam will score between 74% and 83% on the exam? Use four decimals in your answer. (c) 28% 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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Transcribed Image Text: (1 point) The exam scores on a certain Society of Actuaries (SOA) professonal examination are Normally distributed with a mean score of j = 70% and a standard deviation of o = 7%. (a) Compute the probability that a random chosen person who is writing this SOA exam will score at most 67%. (use four decimals in your answer) (b) What proportion of all persons writing this SOA Exam will score between 74% and 83% on the exam? Use four decimals in your answer. (c) 28% 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. %

Community Answer

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false

{:[X∼N(70","7)],[" a) "P(x <= 67)=P(z < (67-70)/(7))],[=P(2 < (-3)/(7))],[=0.3341],[" b) "P(74 < x < 83)=P((2 < 8-70)/(7))-P(L,(24-70) ... See the full answer