A report describes the results of a large survey that was conducted for the Center for Disease Control (CDC). The sample was selected in way that the CDC believed would result in a sample that was representative of adult Americans. One question on the survey asked respondents if they had learned something new about a health issue or disease from a TV show in the previous 6 months. Data from the survey was used to estimate the following probabilities, where event that a randomly selected adult American reports learning something new about a health issue or disease from a TV show in the previous 6 months and F = event that a randomly selected adult American is female P(L) = 0.52 P(L n F) = 0.36 Assume that P(F) = 0.5. Are the events L and Findependent events? Use probabilities to justify your answer. L and Fare vx independent events, because P(L) · P(F) = which is x equal to P(Ln F).

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ch6 q18

A report describes the results of a large survey that was conducted for the Center for Disease Control (CDC). The sample was selected in a
way that the CDC believed would result in a sample that was representative of adult Americans.
One question on the survey asked respondents if they had learned something new about a health issue or disease from a TV show in the
previous 6 months. Data from the survey was used to estimate the following probabilities, where
event that a randomly selected adult American reports learning something new about a health issue or disease from a TV
L-
show in the previous 6 months
and
F = event that a randomly selected adult American is female
P(L) - 0.52
P(L n F) = 0.36
Assume that P(F) = 0.5. Are the events L and F independent events? Use probabilities to justify your answer.
L and Fare
vx independent events, because P(L) · P(F) =
which is
x equal to P(Ln F).
Transcribed Image Text:A report describes the results of a large survey that was conducted for the Center for Disease Control (CDC). The sample was selected in a way that the CDC believed would result in a sample that was representative of adult Americans. One question on the survey asked respondents if they had learned something new about a health issue or disease from a TV show in the previous 6 months. Data from the survey was used to estimate the following probabilities, where event that a randomly selected adult American reports learning something new about a health issue or disease from a TV L- show in the previous 6 months and F = event that a randomly selected adult American is female P(L) - 0.52 P(L n F) = 0.36 Assume that P(F) = 0.5. Are the events L and F independent events? Use probabilities to justify your answer. L and Fare vx independent events, because P(L) · P(F) = which is x equal to P(Ln F).
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