Time-Dependent Failure Rate Analysis Instructions: Answer all questions as completely and succinctly as possible. Provide sufficient explanation that a casual observer can interpret your work. All submissions must be typed and

submitted by the deadline via CANVAS. Homework assignments must be submitted in a single electronic file in pdf file format with all text in 12 point Times New Roman font and 1 inch margins. Do not include your name, assignments are graded anonymously. Late homework assignments will lose points per the schedule defined in the syllabus. Note that assignments failing to comply with formatting rules will be counted as 1 day late. Question 1 (2 points): A conveyor belt at a grain processing and storage facility in Des Moines, lowa is known to have Weibull-distributed time to failure with a characteristic life of 7,500 hours, and a shape factor of 4.1. If the conveyor belt is used 480 hours per month, how many months may pass before half of the conveyor belts will have failed and been replaced?