A newly-hired school registrar in a Science High School would like to determine the overall performance of students in their Social Studies class. Records reveal that the population mean grade is 90 with a standard deviation of 15. Assuming that grades are normally distributed, he randomly selected 18 students and asked them about their Social Studies grades. What is the probability that the Social Studies grades of the students in the sample is between 85 and 92? Express your answer in decimal form, rounded-off into four decimal places.

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A newly-hired school registrar in a Science High School would like to determine the overall
performance of students in their Social Studies class. Records reveal that the population mean
grade is 90 with a standard deviation of 15. Assuming that grades are normally distributed, he
randomly selected 18 students and asked them about their Social Studies grades. What is the
probability that the Social Studies grades of the students in the sample is between 85 and 92?
Express your answer in decimal form, rounded-off into four decimal places.
Transcribed Image Text:A newly-hired school registrar in a Science High School would like to determine the overall performance of students in their Social Studies class. Records reveal that the population mean grade is 90 with a standard deviation of 15. Assuming that grades are normally distributed, he randomly selected 18 students and asked them about their Social Studies grades. What is the probability that the Social Studies grades of the students in the sample is between 85 and 92? Express your answer in decimal form, rounded-off into four decimal places.
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