A component may come from any one of three manufacturers with probabilities p1=0.25, p2=0.50, and p3=0.25. The probabilities that the components will function properly are a function of the manufacturer and are 0.1, 0.2, and 0.4 for the first, second, and third manufacturer, respectively. a. Compute the probability that a randomly chosen component will function properly. b. Compute the probability that three components in series randomly selected will function properly.