Consider the following two scenarios [Option A and Option B]: Shepherd Inc. has a total of 150 computers. Currently, Shepherd Inc. has all 150 computers stored in one warehouse. There is a 20% chance that a fire could occur. If this fire occurs, then Shepherd will lose all 150 computers. [Option A]

Alternatively, Shepherd is considering separating their computers evenly into two different warehouses: 75 computers stored in Warehouse I and 75 computers stored in Warehouse II. Once again, there is a 20% chance that a fire could occur in each warehouse. If a fire occurs, then Shepherd would once again lose their entire computers in that particular warehouse. [Option B]

a. First, consider Option A. Derive the probability distribution for total number of lost computers under Option A.
b. Now consider Option B. Derive the probability distribution for total number of lost computers under Option B.