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#33 Among 7522 cases of heart pacemaker malfunctions, 418 were found to be caused by firmware, which is software programmed into the device. If the

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Among 7522 cases of heart pacemaker malfunctions, 418 were found to be caused by firmware, which is software programmed into the device. If the firmware is tested in 3 different pacemakers randomly selected from this batch of 7522 and the entire batch is accepted if there are no failures, what is the probability that the firmware in the entire batch will be accepted? Is this procedure likely to result in the entire batch being accepted? The probability is . This procedure is to result in the entire batch being accepted. (Round to three decimal places as needed.)

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