d. What is the difference in the results of (b) and (c)? O A. The probability in part (b) is a joint probability, while the probability in part (c) is the sum of two marginal probabilities minus a joint probability. B. The probability in part (b) is a joint probability, while the probability in part (c) is a simple probability. c. The two events in part (c) are mutually exclusive, but part (b) has only one event. D. The two events in part (c) are collectively exhaustive, while the event in part (b) is not.

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i need part D

Do Generation X and Boomers differ in how they use credit cards? A sample of 1,000 Generation X and 1,000 Boomers revealed the results in the accompanying table.
Click the icon to view the table.
- X
If a respondent is selected at random, what is the probability that he or she
a. pays the full amount each month?
b. is a Generation X and pays the full amount each month?
c. is a Generation X or pays the full amount each month?
d. Explain the difference in the results of (b) and (c).
Data table
GENERATION
PAY FULL AMOUNT
ΕACH MΟΝΤΗ
Generation X
Вoomers
Total
Yes
430
590
1,020
980
No
570
410
a. The probability that a randomly selected respondent pays the full amount each month is
Total
1,000
1,000
2,000
(Round to three decimal places as needed.)
b. The probability that a randomly selected respondent is a Generation X and pays the full amount each month is
(Round to three decimal places as needed.)
Print
Done
c. The probability that a randomly selected respondent is a Generation X or pays the full amount each month is
(Round to three decimal places as needed.)
d. What is the difference in the results of (b) and (c)?
A. The probability in part (b) is a joint probability, while the probability in part (c) is the sum of two marginal probabilities minus a joint probability.
B. The probability in part (b) is a joint probability, while the probability in part (c) is a simple probability.
C. The two events in part (c) are mutually exclusive, but part (b) has only one event.
D. The two events in part (c) are collectively exhaustive, while the event in part (b) is not.
Transcribed Image Text:Do Generation X and Boomers differ in how they use credit cards? A sample of 1,000 Generation X and 1,000 Boomers revealed the results in the accompanying table. Click the icon to view the table. - X If a respondent is selected at random, what is the probability that he or she a. pays the full amount each month? b. is a Generation X and pays the full amount each month? c. is a Generation X or pays the full amount each month? d. Explain the difference in the results of (b) and (c). Data table GENERATION PAY FULL AMOUNT ΕACH MΟΝΤΗ Generation X Вoomers Total Yes 430 590 1,020 980 No 570 410 a. The probability that a randomly selected respondent pays the full amount each month is Total 1,000 1,000 2,000 (Round to three decimal places as needed.) b. The probability that a randomly selected respondent is a Generation X and pays the full amount each month is (Round to three decimal places as needed.) Print Done c. The probability that a randomly selected respondent is a Generation X or pays the full amount each month is (Round to three decimal places as needed.) d. What is the difference in the results of (b) and (c)? A. The probability in part (b) is a joint probability, while the probability in part (c) is the sum of two marginal probabilities minus a joint probability. B. The probability in part (b) is a joint probability, while the probability in part (c) is a simple probability. C. The two events in part (c) are mutually exclusive, but part (b) has only one event. D. The two events in part (c) are collectively exhaustive, while the event in part (b) is not.
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