A new component is placed in service and nine spares are available. The times to failure in days are
Question: A new component is placed in service and nine spares are available. The times to failure in days are independent exponential variables, Ti ~ EXP (100).
(a)What is the distribution of the sum from i=1 to 10 of Ti?
(b)What is the probability that successful operation can be maintained for at least 1.5 years? Hint: Use theorem that says: If X ~ GAM (theta, k), then Y = 2X/theta ~ Chi-squared (2k).
(c)How many spares would be needed to be 95% sure of successful operation for at least two years?
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Solution Format: Word Document
Solution Format: Word Document
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