Suppose it is known that 4 out of 40 batteries shipped to an auto parts store are defective. A fleet manager then buys 8 of the batteries from the store. What is the probability that at least 3 of the batteries purchased by the fleet manager are defective?

a) 0.0204

b) 0.0342

c) 0.0354

d) 0.0188

e) 0.0196

f) None of the above.