Question: RELIABILITY OF A HOME THEATER SYSTEM In a home theater system, the probability that the video components need repair within 1 yr is .01, the probability that the electronic components need repair within 1 yr is .005, and the probability that the audio components need repair within 1 yr is .001. Assuming that the events are independent, find the probability that
a. At least one of these components will need repair within 1 yr.
b. Exactly one of these components will need repair within 1 yr.