MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Please see the pictures below. I need help with both questions please and thank you.

 

Recall that U is equivalent to "or" and "union", and that n is equivalent to "and" and "intersection".
If P(A) = 0.4, P(B) = 0.3, and P(A U B) = 0.7, then
P(A N B) =
%3D
%3D
(a) Are events A and B independent? (enter YES or NO)
(b) Are A and B mutually exclusive (disjoint)? (enter YES or NO)
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Transcribed Image Text:Recall that U is equivalent to "or" and "union", and that n is equivalent to "and" and "intersection". If P(A) = 0.4, P(B) = 0.3, and P(A U B) = 0.7, then P(A N B) = %3D %3D (a) Are events A and B independent? (enter YES or NO) (b) Are A and B mutually exclusive (disjoint)? (enter YES or NO)
For two events A and B, P(A) = 0.3 and P(B) = 0.2.
(a) If A and B are independent, then
P(A|B) =
%3D
P(A N B) =
P(A U B) =
(b) If A and B are dependent and P(A|B) = 0.4, then
P(B|A) =
P(A n B) =
%3D
Enter your answers exactly. Do not round.
expand button
Transcribed Image Text:For two events A and B, P(A) = 0.3 and P(B) = 0.2. (a) If A and B are independent, then P(A|B) = %3D P(A N B) = P(A U B) = (b) If A and B are dependent and P(A|B) = 0.4, then P(B|A) = P(A n B) = %3D Enter your answers exactly. Do not round.
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