Question

1. (4 points) Three power supplies are configured in a standby redundant system (i.e., if the first one fails, the second one takes over; if the first one fails and the second one fails, then the third one takes over) with perfect switching. The failure rate for each of the power supplies is constant with a mean time to failure of 20,000 hours. If we assume an exponential model for time to failure (e.g., with parameter ?), number of failures in time t will follow a poisson distribution (with parameter ?t). What is the probability of the system failing in less than 100,000 hours?

          1. (4 points) Three power supplies are configured in a standby redundant system (i.e., if the first one fails, the second one takes over; if the first one fails and the second one fails, then the third one takes over) with perfect switching. The failure rate for each of the power supplies is constant with a mean time to failure of 20,000 hours. If we assume an exponential model for time to failure (e.g., with parameter ?), number of failures in time t will follow a poisson distribution (with parameter ?t). What is the probability of the system failing in less than 100,000 hours?

1. (4 points) Three power supplies are configured in a standby redundant system (i.e., if the first one fails, the second one takes over; if the first one fails and the second one fails, then the third one takes over) with perfect switching. The failure rate for each of the power supplies is constant with a mean time to failure of 20,000 hours. If we assume an exponential model for time to failure (e.g., with parameter ?), number of failures in time t will follow a poisson distribution (with parameter ?t). What is the probability of the system failing in less than 100,000 hours?

Added by Brittany E.

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