2010 Income Distribution up to $100,000 The following table shows the distribution of household incomes in 2010 for a sample of 1,000 households in a country with incomes up to $100,000. 0.3 0.25 0.2 0.15 0.1 0.05 (a) Let X be the (rounded) midpoint of a bracket in which a household falls. Find the relative frequency distribution of X, and graph its histogram. P P 0.3 0.25 0.2 Income Bracket ($) Households 0.15 0.1 0- 20,000- 40,000- 19,999 39,999 59,999 280 180 0.05 250 10,000 30,000 50,000 70,000 90,000 60,000- 80,000- 79,999 99,999 170 120 X A tol 10,000 30,000 50,000 70,000 90,000 0.3 Um.. Uma. 10,000 30,000 50,000 70,000 90,000 10,000 30,000 50,000 70,000 90,000 0.25 0.2 0.15 0.1 0.05 P 0.3 0.25 0.2 0.15 0.1 0.05 X (b) Shade the area of your histogram corresponding to the probability that a randomly selected household in the sample has a value of X above 50,000. What is this probability?
2010 Income Distribution up to $100,000 The following table shows the distribution of household incomes in 2010 for a sample of 1,000 households in a country with incomes up to $100,000. 0.3 0.25 0.2 0.15 0.1 0.05 (a) Let X be the (rounded) midpoint of a bracket in which a household falls. Find the relative frequency distribution of X, and graph its histogram. P P 0.3 0.25 0.2 Income Bracket ($) Households 0.15 0.1 0- 20,000- 40,000- 19,999 39,999 59,999 280 180 0.05 250 10,000 30,000 50,000 70,000 90,000 60,000- 80,000- 79,999 99,999 170 120 X A tol 10,000 30,000 50,000 70,000 90,000 0.3 Um.. Uma. 10,000 30,000 50,000 70,000 90,000 10,000 30,000 50,000 70,000 90,000 0.25 0.2 0.15 0.1 0.05 P 0.3 0.25 0.2 0.15 0.1 0.05 X (b) Shade the area of your histogram corresponding to the probability that a randomly selected household in the sample has a value of X above 50,000. What is this probability?
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 7PT
Related questions
Question
100%
Finite Math - Random Variables & Distributions
Can you please solve this without technology and show the step-by-step process?
![2010 Income Distribution up to $100,000 The following table shows the distribution of household incomes in 2010 for a sample of
1,000 households in a country with incomes up to $100,000.
0.3
0.25
0.2
0.15
0.1
0.05
(a) Let X be the (rounded) midpoint of a bracket in which a household falls. Find the relative frequency distribution of X, and graph its
histogram.
P
P
Income
Bracket ($)
Households
0.3
0.25
0- 20,000-
19,999 39,999
250
280
0.2
Um
0.15
0.1
0.05
40,000- 60,000- 80,000-
59,999 79,999 99,999
180
170
120
10,000 30,000 50,000 70,000 90,000
10,000 30,000 50,000 70,000 90,000
X
X
P
0.3
0.2
0.15
L
0.1
0.05
0.25
P
0.3
0.25
0.2
0.15
0.1
0.05
10,000 30,000 50,000 70,000 90,000
10,000 30,000 50,000 70,000 90,000
X
X
(b) Shade the area of your histogram corresponding to the probability that a randomly selected household in the sample has a value of X
above 50,000. What is this probability?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F82ef0ef6-c23e-4579-9980-5531f4011b7f%2F191545cb-2f34-4a74-bf68-2c0a38ac2744%2F5j0mdw8_processed.png&w=3840&q=75)
Transcribed Image Text:2010 Income Distribution up to $100,000 The following table shows the distribution of household incomes in 2010 for a sample of
1,000 households in a country with incomes up to $100,000.
0.3
0.25
0.2
0.15
0.1
0.05
(a) Let X be the (rounded) midpoint of a bracket in which a household falls. Find the relative frequency distribution of X, and graph its
histogram.
P
P
Income
Bracket ($)
Households
0.3
0.25
0- 20,000-
19,999 39,999
250
280
0.2
Um
0.15
0.1
0.05
40,000- 60,000- 80,000-
59,999 79,999 99,999
180
170
120
10,000 30,000 50,000 70,000 90,000
10,000 30,000 50,000 70,000 90,000
X
X
P
0.3
0.2
0.15
L
0.1
0.05
0.25
P
0.3
0.25
0.2
0.15
0.1
0.05
10,000 30,000 50,000 70,000 90,000
10,000 30,000 50,000 70,000 90,000
X
X
(b) Shade the area of your histogram corresponding to the probability that a randomly selected household in the sample has a value of X
above 50,000. What is this probability?
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
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 4 steps with 2 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Recommended textbooks for you
![Glencoe Algebra 1, Student Edition, 9780079039897…](https://www.bartleby.com/isbn_cover_images/9780079039897/9780079039897_smallCoverImage.jpg)
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
![Big Ideas Math A Bridge To Success Algebra 1: Stu…](https://www.bartleby.com/isbn_cover_images/9781680331141/9781680331141_smallCoverImage.jpg)
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
![Holt Mcdougal Larson Pre-algebra: Student Edition…](https://www.bartleby.com/isbn_cover_images/9780547587776/9780547587776_smallCoverImage.jpg)
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
![Glencoe Algebra 1, Student Edition, 9780079039897…](https://www.bartleby.com/isbn_cover_images/9780079039897/9780079039897_smallCoverImage.jpg)
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
![Big Ideas Math A Bridge To Success Algebra 1: Stu…](https://www.bartleby.com/isbn_cover_images/9781680331141/9781680331141_smallCoverImage.jpg)
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
![Holt Mcdougal Larson Pre-algebra: Student Edition…](https://www.bartleby.com/isbn_cover_images/9780547587776/9780547587776_smallCoverImage.jpg)
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL