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17 Mar 2024, 09:31
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Dropdown 1: Book A
Dropdown 2: 0.00
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
45%
(medium)
Question Stats:
67% (02:15) correct
33%
(02:34)
wrong
based on 1498
sessions
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t2.PNG [ 9.99 KiB | Viewed 14232 times ]
A certain publishing company surveyed readers of three books it publishes (Books A, B, and C). In the diagram, each circle represents one of these books. Next to the label for each circle is the proportion of the total number of survey respondents who had read the corresponding book. Each number in the diagram shows the proportion of the total number of respondents who had read the book(s) represented by the circle or circles in which it appears. For example, the proportion of the number of respondents who had read Book C was 0.72, and the proportion who had read Books B and C but not Book A was 0.20.
Select from each drop-down menu the option that completes the statement so that it most accurately reflects the information provided.
Among the repondents who had read , the probability that one selected at random had read all three books is greater than 0.60.
The probability that a randomly selected respondent had read only Books A and C is .
Attachment:
t2.PNG [ 9.99 KiB | Viewed 14232 times ]
A certain publishing company surveyed readers of three books it publishes (Books A, B, and C). In the diagram, each circle represents one of these books. Next to the label for each circle is the proportion of the total number of survey respondents who had read the corresponding book. Each number in the diagram shows the proportion of the total number of respondents who had read the book(s) represented by the circle or circles in which it appears. For example, the proportion of the number of respondents who had read Book C was 0.72, and the proportion who had read Books B and C but not Book A was 0.20.
Select from each drop-down menu the option that completes the statement so that it most accurately reflects the information provided.
Among the repondents who had read , the probability that one selected at random had read all three books is greater than 0.60.
The probability that a randomly selected respondent had read only Books A and C is .
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Official Answer
Dropdown 1: Book A
Dropdown 2: 0.00
17 Mar 2024, 09:39
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Among the respondents who had read Book ?, the probability that one selected at random had read all three books is greater than 0.60.
0.38 have read all three books, so 0.38 > X * 0.60 or X < \(\frac{0.38}{60}\) or X<63.3
Only Book A has total number of respondents who read it less than 63. Hence ? = Book A
The probability that a randomly selected respondent had read only Books A and C is
Straight forward, as the overlap only between A and C is 0.00
0.38 have read all three books, so 0.38 > X * 0.60 or X < \(\frac{0.38}{60}\) or X<63.3
Only Book A has total number of respondents who read it less than 63. Hence ? = Book A
The probability that a randomly selected respondent had read only Books A and C is
Straight forward, as the overlap only between A and C is 0.00
General Discussion
17 Mar 2024, 13:42
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I can't see the diagram
