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Among 9037 cases of heart pacemaker​ malfunctions, 432 were found to be caused by​ firmware, which...

Among 9037 cases of heart pacemaker​ malfunctions, 432 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 9037 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 (unlikely likely certain) to result in the entire batch being accepted.

​(Round to three decimal places as​ needed.)

Math   Statistics-And-Probability   
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