A space probe will carry a module of three experiments, with redundant experimental packages within the module. Environmental stress testing has resulted in a reliability estimate over the duration of the mission of 0.85, 0.9, and 0.95. There is a weight limitation of 350 lbs allocated to the module.
How many redundant experiments of each type should be included in the module if their respective weights are 40, 30, and 50 lbs? 120 lbs are accounted for already for each experiment.