Question 1
Consider a product that is "settled in." Its MTBF distribution has been found to be normal with a mean of 1,000 hours and a standard deviation of 250 hours. What is the probability of a breakdown before 750 hours? Before 500 hours? Would you prefer a policy of preventive maintenance, or a policy of breakdown maintenance, on this product? Explain your choice.
Question 2
A high school senior is seeking admission into her state's flagship university. The admission requirements are as follows. The student must meet at least ONE of the criteria A, B, C. The student must meet criterion D. These criteria are detailed below. And the student must file a complete application, file a medical form, and pay an application fee by a stated date.
A: score a composite 28 on the ACT exam
B: have a high school GPA of 3.0 or greater
C: place in the top 10% of the high school class
D: complete all courses in the state-mandated "core college preparatory" curriculum (CCPC); OR complete all but one course in CCPC with a 3.5 GPA on all CCPC courses taken.
Using the tools of reliability analysis with redundancy, translate these conditions into the appropriate reliability schematic.
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Sketch the graph of each function using transformations. State the domain and range.