Computer chips do not wear out in the ordinary sense. Assuming that defective chips have been...

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Computer chips do not "wear out" in the ordinary sense. Assuming that defective chips have been removed from the market by factory inspection, it is reasonable to assume that these chips exhibit a constant hazard rate. Let the hazard rate be given by p(t) = .02. (Time is in years.) (a) In a practical sense, what are the main causes of failure of these chips? (b) What is the reliability function for chips of this type? (c) What is the reliability of a chip 20 years after it has been put into use? (d) What is the failure density for these chips? (e) What type of random variable is X, the time to failure of a chip? (f) What is the mean and variance for X? (g) What is the probability that a chip will be operable for at least 30 years? Computer chips do not "wear out" in the ordinary sense. Assuming that defective chips have been removed from the market by factory inspection, it is reasonable to assume that these chips exhibit a constant hazard rate. Let the hazard rate be given by p(t) = .02. (Time is in years.) (a) In a practical sense, what are the main causes of failure of these chips? (b) What is the reliability function for chips of this type? (c) What is the reliability of a chip 20 years after it has been put into use? (d) What is the failure density for these chips? (e) What type of random variable is X, the time to failure of a chip? (f) What is the mean and variance for X? (g) What is the probability that a chip will be operable for at least 30 years?