Question

This Question: 1 pt 8 of 14 (6 complete) Among 6055 cases of heart pacemaker malfunctions, 354 were found to be caused by femware, which is software programmed into the device if the fiemware is tested in 3 dfferent pacemakers randomly selected from this batch of 6055 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 lkely to result in the entre banch beng accepted? to result in the entire batch being accepted The probability is (Round to three decimal places as needed.) This procedure is Enter your answer in the answer box

Answer 1

Total Number of cases = 6055

No of Defectives due to firmware, DF = 354

No of Defectives due to non - firmware, DF = 6055 - 354 = 5701

Now, 3 pace makers are selected from a batch of 6055. The entire batch will be accepted , if all these are non- firmware defectives, which means these 3 are to be from the batch of 5701.

Probability that there are no failures because of firmware is given by, P = = 0.83464 = 83.464%

5701 3 6055 3

Therefore, the probability that the firmware in entire batch is accepted = 83.464%.

This procedure has a high likelihood to result in the entire batch being accepted.