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# According to Nielsen Media Research, approximately 68% of all U.S. hou

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According to Nielsen Media Research, approximately 68% of all U.S. hou  [#permalink]

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11 Apr 2019, 23:50
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35% (medium)

Question Stats:

72% (02:34) correct 28% (02:51) wrong based on 29 sessions

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According to Nielsen Media Research, approximately 68% of all U.S. households with television have cable TV. Seventy-five percent of all U.S. households with television have two or more TV sets. Suppose 56% of all U.S. households with television have cable TV and two or more TV sets. A U.S. household with television is Randomly selected. What is the probability that the household has neither cable TV nor two or more TV sets?
A. 0.13
B. 0.15
C. 0.17
D. 0.19
E. 0.25

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Re: According to Nielsen Media Research, approximately 68% of all U.S. hou  [#permalink]

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11 Apr 2019, 23:59
4 types of users are there

1. With Television but without Cable TV or 2+ TV Sets = 100- (12+19+56) =13
2. With Television with Cable but without 2+ TV Sets =68-56 =12
3. With Television with 2+ TV sets but without Cable TV = 75-56=19
4. With all 3 (Television, cable TV an 2+ TV sets) = 56

Probability that the household has neither cable TV nor two or more TV sets = 13/100= 0.13
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Re: According to Nielsen Media Research, approximately 68% of all U.S. hou  [#permalink]

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12 Apr 2019, 11:25
1
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gmatbusters wrote:
According to Nielsen Media Research, approximately 68% of all U.S. households with television have cable TV. Seventy-five percent of all U.S. households with television have two or more TV sets. Suppose 56% of all U.S. households with television have cable TV and two or more TV sets. A U.S. household with television is Randomly selected. What is the probability that the household has neither cable TV nor two or more TV sets?
A. 0.13
B. 0.15
C. 0.17
D. 0.19
E. 0.25

use 2x2 matrix
let total sample size = 100

---------cable tv-------no cable tv------total
>2 tv----56------------19------------75
<2tv-----12-----------13-------------25
total------68----------32-------------100

so no cable and <2 tv sets = 13
P (household has neither cable TV nor two or more TV sets) =13/100 ; 0.13
IMO A
Re: According to Nielsen Media Research, approximately 68% of all U.S. hou   [#permalink] 12 Apr 2019, 11:25
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