Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

lgbasallote

  • 3 years ago

if P(A) = 0.75 and P(B = 0.8) and P(A' \(\cap\) B') = 0.05 are events A and B independent?

  • This Question is Closed
  1. calculusfunctions
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Two events A and B are independent events iff P(A and B) = P(A) x P(B).

  2. lgbasallote
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    hmmm

  3. lgbasallote
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    that's not dependent?

  4. calculusfunctions
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Nope!

  5. calculusfunctions
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    In your question, P(not A) = 0.25 and the P(not B) = 0.2 and P(not A and not B) = 0.95. P(not A) x P(not B) = 0.25 x 0.2 = 0.05 = P(not A and not B) ∴ A and B are independent events.

  6. lgbasallote
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    i thought B was independent if P(A|B) = P(A'|B)

  7. lgbasallote
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    nevermind. i got it

  8. calculusfunctions
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Oh my gosh! There is something majorly wrong with my computer. I was almost finished with the explanation and it froze. I'll start over. Give me a few minutes.

  9. calculusfunctions
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    OK good so I don't have to start over. You see that my explanation was right.

  10. lgbasallote
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    yes except for a minor typographical error but understandable

  11. calculusfunctions
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Good! Let me know if you change your mind and want to see the explanation.

  12. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy