MathProbabilityDiscrete random variables

Special discrete distributions

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The probabilities that the part will be defective as a result of machining and heat treatment are 0.020.02 and 0.010.01, respectively. The probabilities that the defect will be incorrigible are 0.050.05 and
0.030.03, respectively. Determine the probability that at least one of the three parts will have an uncorrectable defect after undergoing first machining and then heat treatment.

Round up the answer to five decimal places. For example, 0.112233440.11223344 should be rounded to 0.112230.11223 and 0.12345670.1234567 to 0.123460.12346.

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