In a recent year the distribution of scores in the verbal section of the SAT had the parameters below. Let X = a random SAT exam verbal section score in that recent year. The verbal section scores follow a normal distribution. Sketch a graph for each problem! =496 o=114 A. Construct the empirical rule for this normal distribution B. Find the probability a randomly selected SAT exam has a verbal section score of between 241 and 697 C. Find the probability a randomly selected SAT exam has a verbal section score less than 550 D. Find the probability a randomly selected SAT exam has a verbal section score of at least 400 E. What score defines the 90th percentile (P90)? F. What scores define the top and bottom 5% of scores? G. What score defines the top 1% of scores?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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In a recent year the distribution of scores in the verbal section of the SAT had the parameters below. Let X = a random SAT exam verbal section score in that recent year. The verbal
section scores follow a normal distribution. Sketch a graph for each problem!
=496
σ = 114
A. Construct the empirical rule for this normal distribution
B. Find the probability a randomly selected SAT exam has a verbal section score of between 241 and 697
C. Find the probability a randomly selected SAT exam has a verbal section score less than 550
D. Find the probability a randomly selected SAT exam has a verbal section score of at least 400
E. What score defines the 90th percentile (P90)?
F. What scores define the top and bottom 5% of scores?
G. What score defines the top 1% of scores?
Transcribed Image Text:In a recent year the distribution of scores in the verbal section of the SAT had the parameters below. Let X = a random SAT exam verbal section score in that recent year. The verbal section scores follow a normal distribution. Sketch a graph for each problem! =496 σ = 114 A. Construct the empirical rule for this normal distribution B. Find the probability a randomly selected SAT exam has a verbal section score of between 241 and 697 C. Find the probability a randomly selected SAT exam has a verbal section score less than 550 D. Find the probability a randomly selected SAT exam has a verbal section score of at least 400 E. What score defines the 90th percentile (P90)? F. What scores define the top and bottom 5% of scores? G. What score defines the top 1% of scores?
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