**Probability Analysis of Pacemaker Firmware Acceptance**Among 7,610 cases of heart pacemaker malfunctions, 405 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 7,610 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?**Solution Explanation**The task is to determine the probability of accepting the entire batch if 3 pacemakers are tested with no failures.1. **Calculate the probability of selecting a faulty pacemaker:** - Total malfunction cases: 7,610 - Firmware-related malfunctions: 405 - Probability of a pacemaker being faulty due to firmware = 405 / 7,6102. **Calculate the probability that none of the 3 selected pacemakers are faulty:** - Probability for one pacemaker to not be faulty = 1 - (405 / 7,610) - Since 3 pacemakers are tested independently, multiply the probabilities: \[ P(\text{no failures in 3 tests}) = \left(1 - \frac{405}{7610}\right)^3 \]3. **Result:**The probability is [Box]. This procedure is [Dropdown] to result in the entire batch being accepted.**Note:** - The probability should be calculated as shown above and rounded to three decimal places as needed. - "Box" and "Dropdown" are placeholders for entering the calculated probability and conclusion about the likelihood of batch acceptance, respectively.

Among 7610 cases of heart pacemaker malfunctions, 405 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 7610 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 (Round to three decimal places as needed.) to result in the entire batch being accepted.

Among 7610 cases of heart pacemaker malfunctions, 405 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 7610 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 (Round to three decimal places as needed.) to result in the entire batch being accepted.

ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

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