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Among 7633 cases of heart pacemaker malfunctions, 311 were found to be caused by firmware, which is software permanently programmed into the device's memory. Suppose

Among 7633 cases of heart pacemaker malfunctions, 311 were found to be caused by firmware, which is software permanently programmed into the device's memory. Suppose the manufacturer plans to test the firmware in 3 different pacemakers that are randomly selected from this batch of 7633, and will accept the entire batch if none of the 3 fail the test. What is the probability that the firmware in the entire batch will be accepted? (Hint: Use the Five Percent Condition.) Do not round intermediate calculations; only round your final answer.

P(entire batch is accepted) =

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