The Adams Corporation stores spare parts at two warehouses, one in Baltimore and one in Plattsburgh. The number of defective and acceptable spare parts at each warehouse is given below:

Number of spare parts

Warehouse Defective Acceptable Total

Baltimore 28 272 300

Plattsburgh 10 190 200

Total 38 462 500 '

If one of the 500 spare parts kept by the firm is chosen at random (i.e., if each spare part has a 1/500 chance of being chosen), D and A denote the events that the spare part is defective or acceptable, while B and G denote the events that it comes from Baltimore or Plattsburgh. Calculate each of the following probabilities:

a. P (D)

b. P (A and B)

c. P (A or B)

d. P (B|A)

e. P (D|G)

f. P(A|not G)