1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
dem82 [27]
3 years ago
11

To better understand how husbands and wives feel about their finances, Money Magazine conducted a national poll of 1010 married

adults age 25 and older with household incomes of S50,000 or more (Money Magazine website, December 14, 2014). Consider the follow ing example set of responses to the question, "Who is better at getting deals?" Who Is Better? Respondent I Am My Spouse We Are Equal Husband 278 127 102Wife 290 111 102 a. Develop a joint probability table and use it to answer the following questions. b. Construct the marginal probabilities for Who Is Better (I Am, My Spouse, We Are Equal). Comment.c. Given that the respondent is a husband, what is the probability that he feels he is better at getting deals than his wife? d. Given that the respondent is a wife, what is the probability that she feels she is better at getting deals than her husband?e. Given a response "My spouse," is better at getting deals, what is the probability that the response came from a husband?f. Given a response "We are equa" what is the probability that the response came from a husband? What is the probability that the response came from a wife?
Mathematics
1 answer:
Xelga [282]3 years ago
6 0

Answer:

  • a. See the table below
  • b. See the table below
  • c. 0.548
  • d. 0.576
  • e. 0.534
  • f) i) 0.201, ii) 0.208

Explanation:

First, order the information provided:

Table: "Who is better at getting deals?"

                                       Who Is Better?

Respondent      I Am        My Spouse     We Are Equal

Husband           278             127                     102

Wife                   290            111                       102

<u>a. Develop a joint probability table and use it to answer the following questions. </u>

The<em> joint probability table</em> shows the same information but as proportions. Hence, you must divide each number of the table by the total number of people in the set of responses.

1. Number of responses: 278 + 127 + 102 + 290 + 111 + 102 = 1,010.

2. Calculate each proportion:

  • 278/1,010 = 0.275
  • 127/1,010 = 0.126
  • 102/1,010 = 0.101
  • 290/1,010 = 0.287
  • 111/1,010 = 0.110
  • 102/1,010 = 0.101

3. Construct the table with those numbers:

<em>Joint probability table</em>:

Respondent      I Am        My Spouse     We Are Equal

Husband           0.275           0.126                 0.101

Wife                   0.287           0.110                  0.101

Look what that table means: it tells that the joint probability of being a husband and responding "I am" is 0.275. And so for every cell: every cell shows the joint probability of a particular gender with a particular response.

Hence, that is why that is the joint probability table.

<u>b. Construct the marginal probabilities for Who Is Better (I Am, My Spouse, We Are Equal). Comment.</u>

The marginal probabilities are calculated for each for each row and each column of the table. They are shown at the margins, that is why they are called marginal probabilities.

For the colum "I am" it is: 0.275 + 0.287 = 0.562

Do the same for the other two colums.

For the row "Husband" it is 0.275 + 0.126 + 0.101 = 0.502. Do the same for the row "Wife".

Table<em> Marginal probabilities</em>:

Respondent      I Am        My Spouse     We Are Equal     Total

Husband           0.275           0.126                 0.101             0.502

Wife                   0.287           0.110                  0.101             0.498

Total                 0.562           0.236                0.202             1.000

Note that when you add the marginal probabilities of the each total, either for the colums or for the rows, you get 1. Which is always true for the marginal probabilities.

<u>c. Given that the respondent is a husband, what is the probability that he feels he is better at getting deals than his wife? </u>

For this you use conditional probability.

You want to determine the probability of the response be " I am" given that the respondent is a "Husband".

Using conditional probability:

  • P ( "I am" / "Husband") = P ("I am" ∩ "Husband) / P("Husband")

  • P ("I am" ∩ "Husband) = 0.275 (from the intersection of the column "I am" and the row "Husband)

  • P("Husband") = 0.502 (from the total of the row "Husband")

  • P ("I am" ∩ "Husband) / P("Husband") = 0.275 / 0.502 = 0.548

<u>d. Given that the respondent is a wife, what is the probability that she feels she is better at getting deals than her husband?</u>

You want to determine the probability of the response being "I am" given that the respondent is a "Wife", for which you use again the formula for conditional probability:

  • P ("I am" / "Wife") = P ("I am" ∩ "Wife") / P ("Wife")

  • P ("I am" / "Wife") = 0.287 / 0.498

  • P ("I am" / "Wife") = 0.576

<u>e. Given a response "My spouse," is better at getting deals, what is the probability that the response came from a husband?</u>

You want to determine: P ("Husband" / "My spouse")

Using the formula of conditional probability:

  • P("Husband" / "My spouse") = P("Husband" ∩ "My spouse")/P("My spouse")

  • P("Husband" / "My spouse") = 0.126/0.236

  • P("Husband" / "My spouse") = 0.534

<u>f. Given a response "We are equal" what is the probability that the response came from a husband? What is the probability that the response came from a wife?</u>

<u>What is the probability that the response came from a husband?</u>

  • P("Husband" / "We are equal") = P("Husband" ∩ "We are equal" / P ("We are equal")

  • P("Husband" / "We are equal") = 0.101 / 0.502 = 0.201

<u>What is the probability that the response came from a wife:</u>

  • P("Wife") / "We are equal") = P("Wife" ∩ "We are equal") / P("We are equal")

  • P("Wife") / "We are equal") = 0.101 / 0.498 = 0.208
You might be interested in
Whats the product of the 6th and the 3rd square number
Ivanshal [37]

Answer:

which of these expressions or phrases can be used to represent the model brainly choose al the correct answerwhich of these expressions or phrases can be used to represent the model brainly choose al the correct answerswhich of these expressions or phrases can be used to represent the model brainly choose al the correct answerswhich of these expressions or phrases can be used to represent the model brainly choose al the correct answerswhich of these expressions or phrases can be used to represent the model brainly choose al the correct answersvvwhich of these expressions or phrases can be used which of these expressions or phrases can be used to represent the model brainly choose al the correct answerswhich of these expressions or phrases can be used to represent the model brainly choose al the correct answerswhich of these expressions or phrases can be used to represent the model brainly choose al the correct answerswhich of these expressions or phrases can be used to represent the model brainly choose al the correct answerswhich of these expressions or phrases can be used to represent the model brainly choose al the correct answerswhich of these expressions or phrases can be used to represent the model brainly choose al the correct answerswhich of these expressions or phrases can be used to represent the model brainly choose al the correct answerswhich of these expressions or phrases can be used to represent the model brainly choose al the correct answerswhich of these expressions or phrases can be used to represent the model brainly choose al the correct answerswhich of these expressions or phrases can be used to represent the model brainly choose al the correct answerswhich of these expressions or phrases can be used to represent the model brainly choose al the correct answerswhich of these expressions or phrases can be used to represent the model brainly choose al the correct answerswhich of these expressions or phrases can be used to represent the model brainly choose al the correct answerswhich of these expressions or phrases can be used to represent the model brainly choose al the correct answerswhich of these expressions or phrases can be used to represent the model brainly choose al the correct answerswhich of these expressions or phrases can be used to represent the model brainly choose al the correct answersto represent the model brainly choose al the correct answers

Step-by-step explanation:

6 0
3 years ago
Nancy is 5 years younger than her brother Stan. Last year she was twice as young as he was. How old is each of them now?
otez555 [7]
Nancy: 5 Stan: 10

5 is 5 years
younger then Stan
And 5 is twice as
young as 10
4 0
3 years ago
Read 2 more answers
Point M is on line segment \overline{LN} LN . Given LN=17LN=17 and MN=3,MN=3, determine the length \overline{LM}. LM .
Alinara [238K]

Answer:

14

Step-by-step explanation:

the full length of the line is 17, half of it is 3.

subtract line LN from MN to get LM.

17-3=14

8 0
3 years ago
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
sashaice [31]

Answer:

k = –10

Step-by-step explanation:

From the question given above, the following data were obtained:

f(x) = x³ – 6x² – 11x + k

Factor => x + 2

Value of K =?

Next, we shall obtained the value of x from x + 2. This is illustrated below:

x + 2 = 0

Collect like terms

x = 0 – 2

x = –2

Finally, we shall determine the value of k as illustrated below:

f(x) = x³ – 6x² – 11x + k

x = –2

Thus,

f(–2) = 0

x³ – 6x² – 11x + k = 0

(–2)³ – (–2)² – 11(–2) + k = 0

–8 – (4) + 22 + K = 0

–8 – 4 + 22 + K = 0

10 + k = 0

Collect like terms

k = 0 – 10

k = –10

Thus, the value of k is –10

7 0
3 years ago
Help please!!! will make brainiest
dangina [55]

Answer:

32.4

Step-by-step explanation:

14 3/5 = 14.6

14.6*6=87.6

120-87.6=32.4

8 0
3 years ago
Other questions:
  • Brian irons 2/9 of a shirt in 3 3/5 minutes. How long will it take him to iron one shirt? At this rate, how long will it take to
    7·1 answer
  • 24% of 289=<br> Estimate using a rate per 100
    12·1 answer
  • Factorize using identities (i) 1-64x³+48x²-12x
    9·1 answer
  • Lim x →-1x 3 + 4x<br><br> How do i get the answer?
    7·1 answer
  • Find the 1st , 2nd (median) and 3rd quartile of the set of numbers 6,8,2,6,7,9 ?
    6·1 answer
  • Origin is the corner of square whose one side is 3 X + 4 Y + 5 = 0 find its area.
    9·1 answer
  • Sold the proportion.<br><br> 5/16=x/160<br><br> A. 50<br><br> B. 80<br><br> C. 10<br><br> D. 512
    10·1 answer
  • Please answer the question in the image
    13·1 answer
  • Clare has 194 tiles. Can Clare put all tiles in 6 rows with the same number of titles in each?
    9·1 answer
  • X3 - 3y when x=6 and y= -3
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!