6. Each of the machines A and B in an electronics fabrication plant produces a single batch of 50 electrical components per hour. Let E1 denote the event that, in any given hour, machine A produces a batch with no defective components, and E2 denote the corresponding event for machine B. The probabilities of E1, E2, and E1 ∩ E2 are 0.95, 0.92, and 0.88, respectively. Express each of the following events as set operations on E1 and E2, and find their probabilities.

(a) In any given hour, only machine A produces a batch with no defects.

(b) In any given hour, only machine B produces a batch with no defects.

(c) In any given hour, exactly one machine produces a batch with no defects.

(d) In any given hour, at least one machine produces a batch with no defects.