Question: 11.11. Suppose that n independently functioning components are connected in a series arrangement. Assume that the time to failure for each component is normally distributed

11.11. Suppose that n independently functioning components are connected in a series arrangement. Assume that the time to failure for each component is normally distributed with expectation 50 hours and standard deviation 5 hours.

(a) If n 4, what is the probability that the system will still be functioning after 52 hours of operation?

(b) If n components are placed in parallel, how large should n be in order that the probability of failure during the first 55 hours is approximately equal to 0.01?

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