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aziamarie Group Title

whats this answer

  • 2 months ago
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  1. aziamarie Group Title
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    The probability of Samantha scoring an A on a geology test (event A) is 0.46, and the probability of Judith scoring an A on the same test (event B) is 0.54. The probability of both Samantha and Judith scoring an A is 0.2484. Given this information, which statement is true?

    • 2 months ago
  2. aziamarie Group Title
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    Events A and B are independent because P(A and B) = P(A) × P(B). Events Events A and B are dependent because P(A and B) = P(A) × P(B). A and B are independent because P(B|A) ≠ P(B). Events A and B are dependent because P(A|B) ≠ P(B). Done

    • 2 months ago
  3. MrNood Group Title
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    It tells you P(A AND B) First calculate whether P(A AND B) = P(A) x P(B)

    • 2 months ago
  4. ybarrap Group Title
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    You can easily verify $$ P(A\cap B)=P(A)P(B) $$ But also $$ P(B|A)=\cfrac{P(B\cap A)}{P(A)}=\cfrac{0.2484}{0.46}=0.54=P(B)\\ P(A|B)=\cfrac{P(B\cap A)}{P(B)}=\cfrac{0.2484}{0.54}=0.46=P(B)\\ $$ Since \(P(B|A)=P(B)\) and \(P(A|B)=P(A)\), events A and B are \(independent\).

    • 2 months ago
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