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

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calculusfunctionsBest ResponseYou've already chosen the best response.1
Two events A and B are independent events iff P(A and B) = P(A) x P(B).
 one year ago

lgbasalloteBest ResponseYou've already chosen the best response.0
that's not dependent?
 one year ago

calculusfunctionsBest ResponseYou've already chosen the best response.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.
 one year ago

lgbasalloteBest ResponseYou've already chosen the best response.0
i thought B was independent if P(AB) = P(A'B)
 one year ago

lgbasalloteBest ResponseYou've already chosen the best response.0
nevermind. i got it
 one year ago

calculusfunctionsBest ResponseYou've already chosen the best response.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.
 one year ago

calculusfunctionsBest ResponseYou've already chosen the best response.1
OK good so I don't have to start over. You see that my explanation was right.
 one year ago

lgbasalloteBest ResponseYou've already chosen the best response.0
yes except for a minor typographical error but understandable
 one year ago

calculusfunctionsBest ResponseYou've already chosen the best response.1
Good! Let me know if you change your mind and want to see the explanation.
 one year ago
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