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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) = (a) Are events A and B independent? (enter YES or NO) (b) Are A and B mutually exclusive (disjoint)? (enter YES or NO)

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) = (a) Are events A and B independent? (enter YES or NO) (b) Are A and B mutually exclusive (disjoint)? (enter YES or NO)

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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)
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.
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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