Events M and N have probabilities such that P(M) = 0.4, P(N) = 0.28, P(M ∪ N) = 0.56, and P(M ∩ N) = 0.12. Are events M and event N independent? A.
Yes, because P(M) + P(N) = P(M ∪ N).

B.
No, because P(M) ∙ P(N) ≠ P(M ∩ N).

C.
Yes, because P(M) ∙ P(N) ≠ P(M ∪ N).

D.
No, because P(M) - P(N) = P(M ∩ N).
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The answer is B.

Step-by-step explanation:

This is using the independent probability

choice b is correct

step-by-step explanation:

we have been given the following system of linear inequalities;

we are required to graphically determine the solution to these system of inequalities. using a graphing tool, the solution is as shown in the attachment below;

sss (side, side, side)

sas (side, angle, side)

asa (angle, side, angle)

aas (angle, angle, side)

hl (hypotenuse, leg)