Alliance Lighting Manufacturing Sdn Bhd, Ilux Lighting Sdn Bhd, and Neon LED Lighting Sdn Bhd are three manufacturers that provide LED bulbs to AJ Construction & Maintenance. Alliance makes 80% of the LEDs, Ilux makes 15%, and Neon makes the remaining 5%. The rate of defects found in the LED bulbs made by Alliance is 4%, for Ilux it is 6%, and for Neon it is 9%. a. If an LED bulb is randomly selected from the general popula- tion of all LED bulbs, find the probability that it was made by Alliance Lighting Manufacturing Sdn Bhd. b. If a randomly selected LED bulb is tested and found to be de- fective, find the probability that it was made by the Alliance Lighting Manufacturing Sdn Bhd.