A manufacturing process produces electronic components that occasionally are defective. There is a one-in-a-hundred chance that a component is defective. Furthermore, whether or not a component is defective is independent of any other component. If 25 components are produced in a day, find the probability that at least one is defective.
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Suppose that a shipment of 120 electronic components contains 4 defective components. To determine whether the shipment should be accepted, a quality-control engineer randomly selects 4 of the components and tests them. If 1 or more of the components is defective, the shipment is rejected. What is the probability that the shipment is rejected? | Numerade
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