Consider purchasing a system of audio components consisting of a receives, a pair of speakers, and a CD player. Let A be the event that the receiver functions property throughout the warranty gentodd, be the event that the speakers function properly throughout the warranty period, and A, be the event that the CD player functions properly throughout the warranty penod. Suppose that these events are (mutually) independent with PIA, ) = 0.05, P(A;] = 0.93, and PLA ) = 0.70. (Round your angerers to four decimal places.) (a] What in the probability that all three components function properly throughout the warranty period? (5) What Is the probability that at least one component needs service during the warranty penod? "(c). What is the probability that all three components need service during the warranty penodi (d) What is the probability that only the receiver needs service during the warranty period? (e) What is the probability that exactly one of the three components needs pervice during the warranty period