lgbasallote
  • lgbasallote
if P(A) = 0.75 and P(B = 0.8) and P(A' \(\cap\) B') = 0.05 are events A and B independent?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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calculusfunctions
  • calculusfunctions
Two events A and B are independent events iff P(A and B) = P(A) x P(B).
lgbasallote
  • lgbasallote
hmmm
lgbasallote
  • lgbasallote
that's not dependent?

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calculusfunctions
  • calculusfunctions
Nope!
calculusfunctions
  • calculusfunctions
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.
lgbasallote
  • lgbasallote
i thought B was independent if P(A|B) = P(A'|B)
lgbasallote
  • lgbasallote
nevermind. i got it
calculusfunctions
  • calculusfunctions
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.
calculusfunctions
  • calculusfunctions
OK good so I don't have to start over. You see that my explanation was right.
lgbasallote
  • lgbasallote
yes except for a minor typographical error but understandable
calculusfunctions
  • calculusfunctions
Good! Let me know if you change your mind and want to see the explanation.

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