A manufactured component has its quality graded on its performance, appearance and cost. each of these 3 characteristics is graded as either pass or fail. there is a probability of 0.4 that a component passes on both appearance and cost. there is a probability of 0.31 that a component passes on all 3 characteristics. there is a probability of 0.64 that a component passes on performance. there is a probability of 0.19 that a component fails on all 3 characteristics. there is a probability of 0.06 that a component passes on appearance but fails on both performance and cost. (a) what is the probability that a component passes on cost but fails on both performance and appearance? (b) if a component passes on both appearance and cost, what is the probability that it passes on all 3 characteristics?