In an assembly-line production of industrial robots, gearbox assemblies can be installed in one minute each if holes have been properly drilled in the boxes and in ten minutes if the holes must be redrilled. Twenty-five gearboxes are in stock, 3 with improperly drilled holes. Five gearboxes must be selected from the 25 that are available for installation in the next ve robots. (Round your answers to four decimal places.) (a) Find the probability that all 5 gearboxes will t properly. (b) Find the mean, variance, and standard deviation of the time it takes to install these 5 gearboxes. I4: O' = 0