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Suppose that the final exam scores of all students in a large math class are normally distributed with a mean of 130 points and a s.d. of 22 points. (a) (b) Find the probability that a r/s student's score is above 160 points. Find the 90th percentile of these students' scores.

Suppose that the final exam scores of all students in a large math class are normally distributed with a mean of 130 points and a s.d. of 22 points. (a) (b) Find the probability that a r/s student's score is above 160 points. Find the 90th percentile of these students' scores.

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Sure! Here’s a transcription suitable for an educational website: --- **Problem 5: Statistics and Probability** Consider the scenario where the final exam scores of all students in a large math class are normally distributed with a mean (average) of 130 points and a standard deviation (s.d.) of 22 points. **Tasks:** (a) Determine the probability that a randomly selected student's score exceeds 160 points. (b) Calculate the 90th percentile of the students’ scores. --- In this exercise, students are expected to apply their understanding of normal distribution, using concepts such as z-scores and standard deviations, to solve problems involving probabilities and percentiles.
Transcribed Image Text:Sure! Here’s a transcription suitable for an educational website: --- **Problem 5: Statistics and Probability** Consider the scenario where the final exam scores of all students in a large math class are normally distributed with a mean (average) of 130 points and a standard deviation (s.d.) of 22 points. **Tasks:** (a) Determine the probability that a randomly selected student's score exceeds 160 points. (b) Calculate the 90th percentile of the students’ scores. --- In this exercise, students are expected to apply their understanding of normal distribution, using concepts such as z-scores and standard deviations, to solve problems involving probabilities and percentiles.
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