In an assembly-line production of industrial robots, gearbox assemblies can be installed in one minute each if holes have been p
roperly drilled in the boxes and in ten minutes if the holes must be redrilled. Twenty gearboxes are in stock, 2 with improperly drilled holes. Five gearboxes must be selected from the 20 that are available for installation in the next five robots. a Find the probability that all 5 gearboxes will fit properly. b Find the mean, variance, and standard deviation of the time it takes to install these 5 gearboxes.
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