Express each of the given events as set operations

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Reference no: EM131768128

Question: The electronics fabrication plant in Exercise has a third machine, machine C, which is used in periods of peak demand and is also capable of producing a batch of 50 electrical components per hour. Let E₁, E₂ be as in Exercise 6, and E₃ be the corresponding event for machine C. The probabilities of E₃, E₁ ∩ E₃, E₂ ∩ E₃, and E₁ ∩ E₂ ∩ E₃ are 0.9, 0.87, 0.85, and 0.82, respectively. Find the probability that at least one of the machines will produce a batch with no defectives.

Exercise: Each of the machines A and B in an electronics fabrication plant produces a single batch of 50 electrical components per hour. Let E₁denote 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.

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

Reference no: EM131768128

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