(c) What is the probability that a randomly selected sixth-grade student reads between 105 and 135 words per minute? (d) Would it be unusual for a sixth-grader to read more than 190 words per minute? (yes, no) (e) What is the reading speed of a sixth-grader whose reading speed is at the 95th percentile?
(c) What is the probability that a randomly selected sixth-grade student reads between 105 and 135 words per minute? (d) Would it be unusual for a sixth-grader to read more than 190 words per minute? (yes, no) (e) What is the reading speed of a sixth-grader whose reading speed is at the 95th percentile?
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
Related questions
Question
Please solve last three parts, c, d, and e!!
![---
**Reading Speed of Sixth-Grade Students: Normal Distribution Analysis**
The reading speed of sixth-grade students follows a normal distribution, with a mean (average) speed of 125 words per minute and a standard deviation of 24 words per minute.
**Instructions:**
1. For parts (a) to (d), round your answers to 4 decimal places.
2. For part (e), round your answer to the nearest whole number.
**Questions and Input Fields:**
(a) **Probability of Reading Less than 105 Words per Minute:**
What is the probability that a randomly selected sixth-grade student reads less than 105 words per minute?
\[ Answer: \]
(b) **Probability of Reading More than 145 Words per Minute:**
What is the probability that a randomly selected sixth-grade student reads more than 145 words per minute?
\[ Answer: \]
(c) **Probability of Reading Between 105 and 135 Words per Minute:**
What is the probability that a randomly selected sixth-grade student reads between 105 and 135 words per minute?
\[ Answer: \]
(d) **Unusual Reading Speed:**
Would it be unusual for a sixth-grader to read more than 190 words per minute? (yes, no)
\[ Answer: \]
(e) **95th Percentile Reading Speed:**
What is the reading speed of a sixth-grader whose reading speed is at the 95th percentile?
\[ Answer: \]
---
By analyzing the normal distribution of reading speeds, educators and researchers can better understand and interpret the reading capabilities of sixth-grade students, identifying those who may need additional support or those who are excelling.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd2297071-c636-4616-baf3-32dd51d4726a%2F5c5e82f6-cad0-45fb-a331-6151c8fe5fa4%2Fydftdh7.png&w=3840&q=75)
Transcribed Image Text:---
**Reading Speed of Sixth-Grade Students: Normal Distribution Analysis**
The reading speed of sixth-grade students follows a normal distribution, with a mean (average) speed of 125 words per minute and a standard deviation of 24 words per minute.
**Instructions:**
1. For parts (a) to (d), round your answers to 4 decimal places.
2. For part (e), round your answer to the nearest whole number.
**Questions and Input Fields:**
(a) **Probability of Reading Less than 105 Words per Minute:**
What is the probability that a randomly selected sixth-grade student reads less than 105 words per minute?
\[ Answer: \]
(b) **Probability of Reading More than 145 Words per Minute:**
What is the probability that a randomly selected sixth-grade student reads more than 145 words per minute?
\[ Answer: \]
(c) **Probability of Reading Between 105 and 135 Words per Minute:**
What is the probability that a randomly selected sixth-grade student reads between 105 and 135 words per minute?
\[ Answer: \]
(d) **Unusual Reading Speed:**
Would it be unusual for a sixth-grader to read more than 190 words per minute? (yes, no)
\[ Answer: \]
(e) **95th Percentile Reading Speed:**
What is the reading speed of a sixth-grader whose reading speed is at the 95th percentile?
\[ Answer: \]
---
By analyzing the normal distribution of reading speeds, educators and researchers can better understand and interpret the reading capabilities of sixth-grade students, identifying those who may need additional support or those who are excelling.
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