20. Size of American households In government data, a household consists of all occupants of a dwelling unit, while a family consists of two or more persons who live together and are related by blood or marriage. So all families form households, but some households are not families. Here are the distributions of household size and family size in the United States: 1 sehold probability 0.25 ly probability 0 Number of Persons 2 3 4 5 0.32 0.17 0.15 0.07 0.42 0.23 0.21 0.09 67 0.03 0.01 0.03 0.02 Let X = the number of people in a randomly selecte U.S. household and Y = the number of people in a randomly chosen U.S. family. (a) Make histograms suitable for comparing the probability distributions of X and Y. Describe any differences that you observe. (b) Find the mean for each random variable. Ex- plain why this difference makes sense. (e) Find the standard deviations of both X and Y. Explain why this difference makes sense.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
Q.20 (If you could write it out on paper I'd really appreciate it please)
Explain why this difference makes sense.
who
20. Size of American households In government data, a
household consists of all occupants of a dwelling unit,
while a family consists of two or more persons
live together and are related by blood or marriage. So
all families form households, but some households are
not families. Here are the distributions of household
size and family size in the United States:
1
sehold probability 0.25
ily probability
0
Number of Persons
3 4 5 6 7
0.15 0.07
0.32 0.17
0.01
0.03
0.42 0.23 0.21 0.09 0.03 0.02
Let X = the number of people in a randomly selected
U.S. household and Y = the number of people in a
randomly chosen U.S. family.
(a) Make histograms suitable for comparing the
probability distributions of X and Y. Describe any
differences that you observe.
(b) Find the mean for each random variable. Ex-
plain why this difference makes sense.
(c) Find the standard deviations of both X and Y.
Explain why this difference makes sense.
Transcribed Image Text:Explain why this difference makes sense. who 20. Size of American households In government data, a household consists of all occupants of a dwelling unit, while a family consists of two or more persons live together and are related by blood or marriage. So all families form households, but some households are not families. Here are the distributions of household size and family size in the United States: 1 sehold probability 0.25 ily probability 0 Number of Persons 3 4 5 6 7 0.15 0.07 0.32 0.17 0.01 0.03 0.42 0.23 0.21 0.09 0.03 0.02 Let X = the number of people in a randomly selected U.S. household and Y = the number of people in a randomly chosen U.S. family. (a) Make histograms suitable for comparing the probability distributions of X and Y. Describe any differences that you observe. (b) Find the mean for each random variable. Ex- plain why this difference makes sense. (c) Find the standard deviations of both X and Y. Explain why this difference makes sense.
Expert Solution
steps

Step by step

Solved in 2 steps with 6 images

Blurred answer
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman