Nationally, 38% of fourth-graders cannot read an age-appropriate book. The following data show the number of children, by age, identified as learning disabled under special education. Most of these children have reading problems that should be identified and corrected before third grade. Current federal law prohibits most children from receiving extra help from special education programs until they fall behind by approximately two years’ worth of learning, and that typically means third grade or later (USA Today, September 6, 2001). Age Number of Children 6 37,369 7 87,436 8 160,840 9 239,719 10 286,719 11 306,533 12 310,787 13 302,604 14 289,168 Suppose that we want to select a sample of children identified as learning disabled under special education for a program designed to improve reading ability. Let x be a random variable indicating the age of one randomly selected child. Question Show that the probability distribution satisfies equations Equation which is f(x) ≥ 0 and Equation which is Σ f(x) = 1.
Nationally, 38% of fourth-graders cannot read an age-appropriate book. The following data show the number of children, by age, identified as learning disabled under special education. Most of these children have reading problems that should be identified and corrected before third grade. Current federal law prohibits most children from receiving extra help from special education programs until they fall behind by approximately two years’ worth of learning, and that typically means third grade or later (USA Today, September 6, 2001). Age Number of Children 6 37,369 7 87,436 8 160,840 9 239,719 10 286,719 11 306,533 12 310,787 13 302,604 14 289,168 Suppose that we want to select a sample of children identified as learning disabled under special education for a program designed to improve reading ability. Let x be a random variable indicating the age of one randomly selected child. Question Show that the probability distribution satisfies equations Equation which is f(x) ≥ 0 and Equation which is Σ f(x) = 1.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 27PPS
Related questions
Question
| Nationally, 38% of fourth-graders cannot read an age-appropriate book. The following data show the number of children, by age, identified as learning disabled under special education. Most of these children have reading problems that should be identified and corrected before third grade. Current federal law prohibits most children from receiving extra help from special education programs until they fall behind by approximately two years’ worth of learning, and that typically means third grade or later (USA Today, September 6, 2001). | |||
| Age | Number of Children | ||
| 6 | 37,369 | ||
| 7 | 87,436 | ||
| 8 | 160,840 | ||
| 9 | 239,719 | ||
| 10 | 286,719 | ||
| 11 | 306,533 | ||
| 12 | 310,787 | ||
| 13 | 302,604 | ||
| 14 | 289,168 | ||
| Suppose that we want to select a sample of children identified as learning disabled under special education for a program designed to improve reading ability. Let x be a random variable indicating the age of one randomly selected child. |
Question
Show that the probability distribution satisfies equations Equation which is f(x) ≥ 0 and Equation which is Σ f(x) = 1.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 3 images
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL