Question

To ensure reliable performance of vital computer systems, aerospace engineers sometimes employ the technique of "triple redundancy," in which three identical computers are installed in a space vehicle. If one of the three computers gives results different from the other two, it is assumed to be malfunctioning and is ignored. This technique will work as long as no more than one computer malfunctions. Assuming that an onboard computer is 95% reliable (that is, the probability of its failing is 0.05), what is the probability that at least two of the three computers will malfunction? (Round your answer to four decimal places.)

Answer 1