Internet Access. From the document “Computer and Internet Use in the United States: Population Characteristics” (Current Population Survey) by T. File, we obtained the following percentage distribution of household income for U.S. households with Internet access. Household income Percentage Event Less than $25,000 17.1 A $25,000–$49,999 24.0 B $50,000–$99,999 35.0 C $100,000–$149,999 14.1 D $150,000 or more 9.8 E Suppose that a U.S. household with Internet access is selected at random. Let A denote the event that the household has an income under $25,000,B denote the event that the household has an income between $25,000 and $49,999, and so on (see the third column of the table). Apply the special addition rule to find the probability that the household obtained has an income a. under $50,000. b. $25,000 or above. c. between $25,000 and $149,999, inclusive. d. Interpret each of your answers in parts (a)–(c) in terms of percentages.
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
Internet Access. From the document “Computer and Internet Use in the United States: Population Characteristics” (Current Population Survey) by T. File, we obtained the following percentage distribution of household income for U.S. households with Internet access.
|
Household income |
Percentage |
|
|
Less than $25,000 |
17.1 |
A |
|
$25,000–$49,999 |
24.0 |
B |
|
$50,000–$99,999 |
35.0 |
C |
|
$100,000–$149,999 |
14.1 |
D |
|
$150,000 or more
|
9.8
|
E
|
Suppose that a U.S. household with Internet access is selected at random. Let A denote the event that the household has an income under $25,000,B denote the event that the household has an income between $25,000 and $49,999, and so on (see the third column of the table). Apply the special addition rule to find the probability that the household obtained has an income
a. under $50,000.
b. $25,000 or above.
c. between $25,000 and $149,999, inclusive.
d. Interpret each of your answers in parts (a)–(c) in terms of percentages.
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