The cobot's vision system uses field-programmable gate arrays (FPGAs) to process video imagery. Since this is a new design, you put 15 FPGAs under test. Due to supply chain issues, you do not have any spares available to replace the failed units during testing. The chief of the electronics branch has directed that testing be terminated after 5 failures. After the test is initiated, you are very surprised when the test technician notifies you that one FPGA failed at 642 hours and that a second at 761 hours. Thus, you recommend that the test be terminated after 45 days of testing. Fortunately, no additional failures occur and the test is terminated at 1080 hours of total test time. a) Is this considered a Type I or Type II life test? b) Assuming a constant failure rate, calculate a point estimate of MTTF. c) Calculate the lower (one-sided) bound of the MTTF with 99% confidence. d) In retrospect, should you have been surprised at the first failure at 642 hrs?citing the anticipated probability of failure at 642 hrs. Hint: You will need to compute the reliability at 650 hrs with 95% confidence