You must be this tall - Heights of 10-year-old children, regardless of gender, closely follow a normal distribution with mean 55 inches and standard deviation 6 inches. Round all answers to four decimal places. 1. What is the probability that a randomly chosen 10-year-old child is shorter than 45 inches? 0.0475 2. What is the probability that a randomly chosen 10-year-old child is between 59 and 61 inches? 0.0938 3. If the shortest 15% of a class of 10-year-old children is considered "very short", what is the height cutoff for "very short"? 48.7816 inches 4. What is the height of a 10-year-old child who is at the 46th percentile? inches 5. In order to ride the Batman the Ride ride at Six Flags America, a person must be shorter than 54 inches. What proportion of 10-year-old children cannot go on this ride? |
You must be this tall - Heights of 10-year-old children, regardless of gender, closely follow a normal distribution with mean 55 inches and standard deviation 6 inches. Round all answers to four decimal places. 1. What is the probability that a randomly chosen 10-year-old child is shorter than 45 inches? 0.0475 2. What is the probability that a randomly chosen 10-year-old child is between 59 and 61 inches? 0.0938 3. If the shortest 15% of a class of 10-year-old children is considered "very short", what is the height cutoff for "very short"? 48.7816 inches 4. What is the height of a 10-year-old child who is at the 46th percentile? inches 5. In order to ride the Batman the Ride ride at Six Flags America, a person must be shorter than 54 inches. What proportion of 10-year-old children cannot go on this ride? |
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 22PFA
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I need help with 4 and 5 plz
![You must be this tall - Heights of 10-year-old children, regardless of gender, closely follow a normal distribution with mean 55 inches and standard
deviation 6 inches.
Round all answers to four decimal places.
1. What is the probability that a randomly chosen 10-year-old child is shorter than 45 inches? 0.0475
2. What is the probability that a randomly chosen 10-year-old child is between 59 and 61 inches?
0.0938
3. If the shortest 15% of a class of 10-year-old children is considered “very short", what is the height cutoff for "very short"? 48.7816
inches
4. What is the height of a 10-year-old child who is at the 46th percentile?
inches
5. In order to ride the Batman the Ride ride at Six Flags America, a person must be shorter than 54 inches. What proportion of 10-year-old children
cannot go on this ride?|](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4745af79-0155-486b-8f61-53121b7c4ee4%2F19242e78-612b-44fb-b97b-0d2c2a63c44e%2F1yth21r_processed.png&w=3840&q=75)
Transcribed Image Text:You must be this tall - Heights of 10-year-old children, regardless of gender, closely follow a normal distribution with mean 55 inches and standard
deviation 6 inches.
Round all answers to four decimal places.
1. What is the probability that a randomly chosen 10-year-old child is shorter than 45 inches? 0.0475
2. What is the probability that a randomly chosen 10-year-old child is between 59 and 61 inches?
0.0938
3. If the shortest 15% of a class of 10-year-old children is considered “very short", what is the height cutoff for "very short"? 48.7816
inches
4. What is the height of a 10-year-old child who is at the 46th percentile?
inches
5. In order to ride the Batman the Ride ride at Six Flags America, a person must be shorter than 54 inches. What proportion of 10-year-old children
cannot go on this ride?|
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