E and F are two events of a sample space S. For each of the following probability statements, state whether it is always true, always false, or neither. Justify each answer. a. P(E) P(E U F). c. P(E U...

E and F are two events of a sample space S. For each of the following probability statements, state whether it is always true, always false, or neither. Justify each answer.

a. P(E) < P(E N F).<br>b. P(E) > P(E U F).<br>c. P(E U F) < P(E) + P(F).<br>С.<br>d. P(E N FC) = 1 - P(E U F).<br>e. P(E*|F) = 1 - P(E|F).<br>

Extracted text: a. P(E) < p(e="" n="" f).="" b.="" p(e)=""> P(E U F). c. P(E U F) < p(e)="" +="" p(f).="" с.="" d.="" p(e="" n="" fc)="1" -="" p(e="" u="" f).="" e.="" p(e*|f)="1" -="">

Jun 08, 2022

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E and F are two events of a sample space S. For each of the following probability statements, state whether it is always true, always false, or neither. Justify each answer. a. P(E) P(E U F). c. P(E U...

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