If the energy level is above the Fermi level by kT, 5kT, and 10kT, respectively. (a) Determine the probability that an energy level is occupied by an electron under each condition. (b) Determine the probability that an energy level is empty of an electron under each condition.

Consider a production line with five stations. station 1 can produce a unit in 9 minutes. station 2 can produce a unit in 10 minutes. station 3 has two identical machines, each of which can process a unit in 12 minutes (each unit only needs to be processed on one of the two machines. station 4 can produce a unit in 5 minutes. station 5 can produce a unit in 8 minutes. which station is the bottleneck station?