In a computer instant messaging survey, respondents were asked to choose the most fun way to flirt, and it found that P(D) = 0.750, where D is directly in person. If someone is randomly selected, what does P (D) represent, and what is its value? What does P(D) represent? O A. P(D) is the probability of randomly selecting someone who chooses a direct in-person encounter as the most fun way to flirt. O B. P(D) is the probability of randomly selecting someone who does not choose a direct in-person encounter as the most fun way to flirt. O C. P(D) is the probability of randomly selecting someone who did not participate in the survey. O D. P(D) is the probability randomly selecting someone who did not have a preference in regards to the most fun way to flirt. P(D) = (Simplify your answer.)
In a computer instant messaging survey, respondents were asked to choose the most fun way to flirt, and it found that P(D) = 0.750, where D is directly in person. If someone is randomly selected, what does P (D) represent, and what is its value? What does P(D) represent? O A. P(D) is the probability of randomly selecting someone who chooses a direct in-person encounter as the most fun way to flirt. O B. P(D) is the probability of randomly selecting someone who does not choose a direct in-person encounter as the most fun way to flirt. O C. P(D) is the probability of randomly selecting someone who did not participate in the survey. O D. P(D) is the probability randomly selecting someone who did not have a preference in regards to the most fun way to flirt. P(D) = (Simplify your answer.)
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
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Problem 2P: Family Planning A intend to have two children. What is tie probability that they will have child of...
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![### Understanding Probabilities in Survey Responses
In a computer instant messaging survey, respondents were asked to choose the most fun way to flirt, and it was found that \( P(D) = 0.750 \), where \( D \) is defined as a direct in-person encounter. If someone is randomly selected, what does \( P(\overline{D}) \) represent, and what is its value?
#### Question: What does \( P(\overline{D}) \) represent?
**Options:**
- **A.** \( P(\overline{D}) \) is the probability of randomly selecting someone who chooses a direct in-person encounter as the most fun way to flirt.
- **B.** \( P(\overline{D}) \) is the probability of randomly selecting someone who does not choose a direct in-person encounter as the most fun way to flirt.
- **C.** \( P(\overline{D}) \) is the probability of randomly selecting someone who did not participate in the survey.
- **D.** \( P(\overline{D}) \) is the probability of randomly selecting someone who did not have a preference in regards to the most fun way to flirt.
#### Solution:
\[ P(\overline{D}) = 1 - P(D) \]
Given:
\[ P(D) = 0.750 \]
\[ P(\overline{D}) = 1 - 0.750 = 0.250 \]
So, \( P(\overline{D}) \) represents the probability of randomly selecting someone who does not choose a direct in-person encounter as the most fun way to flirt.
Therefore, the correct answer is:
**B.** \( P(\overline{D}) \) is the probability of randomly selecting someone who does not choose a direct in-person encounter as the most fun way to flirt.
\[ P(\overline{D}) = 0.250 \]
*(Simplify your answer.)*](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F90efdacf-751d-4321-aeaa-af0a9a860c3a%2F65db6f51-ed58-4291-8f5a-4d7fb05bdda0%2F3l3xu65_processed.png&w=3840&q=75)
Transcribed Image Text:### Understanding Probabilities in Survey Responses
In a computer instant messaging survey, respondents were asked to choose the most fun way to flirt, and it was found that \( P(D) = 0.750 \), where \( D \) is defined as a direct in-person encounter. If someone is randomly selected, what does \( P(\overline{D}) \) represent, and what is its value?
#### Question: What does \( P(\overline{D}) \) represent?
**Options:**
- **A.** \( P(\overline{D}) \) is the probability of randomly selecting someone who chooses a direct in-person encounter as the most fun way to flirt.
- **B.** \( P(\overline{D}) \) is the probability of randomly selecting someone who does not choose a direct in-person encounter as the most fun way to flirt.
- **C.** \( P(\overline{D}) \) is the probability of randomly selecting someone who did not participate in the survey.
- **D.** \( P(\overline{D}) \) is the probability of randomly selecting someone who did not have a preference in regards to the most fun way to flirt.
#### Solution:
\[ P(\overline{D}) = 1 - P(D) \]
Given:
\[ P(D) = 0.750 \]
\[ P(\overline{D}) = 1 - 0.750 = 0.250 \]
So, \( P(\overline{D}) \) represents the probability of randomly selecting someone who does not choose a direct in-person encounter as the most fun way to flirt.
Therefore, the correct answer is:
**B.** \( P(\overline{D}) \) is the probability of randomly selecting someone who does not choose a direct in-person encounter as the most fun way to flirt.
\[ P(\overline{D}) = 0.250 \]
*(Simplify your answer.)*
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