A white goods manufacturer is sourcing parts for its air-conditioning units. Management is currently putting together a timeline for the next stages of manufacturing. To do so, management considers that one set of parts relating to the motor are coming from Germany and one set of parts relating to the casing will come from the USA. Past experience suggests there is an 8% probability that the German parts will arrive late due to disruptions in shipping. The probability of parts arriving late from the USA is deemed to be 5%.

(a) What is the probability that parts from Germany will not be delayed?

(b) What is the probability that parts from the USA will not be delayed?

(c) Assume that the events in the two previous questions are independent. What is the probability that the parts from Germany will arrive late given that parts from the USA arrived late?