The XL-2100 lamp unit is designed to be used with the Sony LCD projection TV "Grand WEGA." An electronics company purchases the lamp unit from three manu- factures located in Japan, China, and Korea respectively. The company located in Japan delivers the shipment on time 90% of the time, the company in Korea makes the shipment on time 85% of the time, whereas the company in China is 95% on time. The past record shows that the electronics company placed the orders with the company in China 70% of the time and to the company in Japan about 20% of the time. If a lamp unit was selected at random and identified as being shipped in time, find the probability that the selected unit was manufactured by the company located in China.