Question: 7. The electronics fabrication plant in Exercise 6 has a third machine, machine C, which is used in periods of peak demand and is also

7. The electronics fabrication plant in Exercise 6 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.

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