200 plates are checked for surface quality (acceptable, non acceptable) and for satisfying given tolerance limits of the diameter (yes, no). The results are: A plate is selected at random from these...

200 plates are checked for surface quality (acceptable, non acceptable) and for satisfying given tolerance limits of the diameter (yes, no). The results are:

A plate is selected at random from these 200. Let A be the event that its diameter is within the tolerance limits, and let B the event that its surface quality is acceptable.

(1) Determine the probabilities and from the matrix. By using P(A), P(B) P(A ∩ B) the rules developed in section 1.1, determine and P(A ∪ B) P( ∪
).

(2) Are A and B independent?