Question: Western Widgets Works manufactures 40% of its wicker widgets in Albuquerque, 30% in Bakersfield, 20% in Chattanooga, and 10% in Davenport. According to quality assurance officers, 8% of the products from Albuquerque, 4% of those from Bakersfield, 2% of those from Chattanooga, and 1% of those from Davenport are defect.

(a) What percent of the wicker widgets manufactured by Western Widget works are defective, according to this information?

(b) If a defective wicker widget is randomly sampled, what is the chance it was not manufactured in Albuquerque?