Box 1 contains 1000 lightbulbs of which 10% are defective. box 2 contains 2000 lightbulbs of which 5% are defective. (a) suppose a box is given to you at random and you randomly select a lightbulb from the box. if that lightbulb is defective, what is the probability you chose box 1? (b) suppose now that a box is given to you at random and you randomly select two light- bulbs from the box. if both lightbulbs are defective, what is the probability that you chose from box 1?