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lgbasallote
 2 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?
lgbasallote
 2 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?

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calculusfunctions
 2 years ago
Best ResponseYou've already chosen the best response.1Two events A and B are independent events iff P(A and B) = P(A) x P(B).

lgbasallote
 2 years ago
Best ResponseYou've already chosen the best response.0that's not dependent?

calculusfunctions
 2 years ago
Best ResponseYou've already chosen the best response.1In 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
 2 years ago
Best ResponseYou've already chosen the best response.0i thought B was independent if P(AB) = P(A'B)

lgbasallote
 2 years ago
Best ResponseYou've already chosen the best response.0nevermind. i got it

calculusfunctions
 2 years ago
Best ResponseYou've already chosen the best response.1Oh 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
 2 years ago
Best ResponseYou've already chosen the best response.1OK good so I don't have to start over. You see that my explanation was right.

lgbasallote
 2 years ago
Best ResponseYou've already chosen the best response.0yes except for a minor typographical error but understandable

calculusfunctions
 2 years ago
Best ResponseYou've already chosen the best response.1Good! Let me know if you change your mind and want to see the explanation.
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