A car assembly plant uses axles from two suppliers, A and B. The axles manufactured by A and B fail within 10 years with probabilities 0.2 and 0.1, respectively. The assembly plant uses 50% of axles from each of the suppliers.
(a) Find the probability that the axle in a car fails within 10 years.
(b) What is the probability that the failed axle came from supplier A?
(c) What is the probability that the failed axle came from supplier B?