The time to failure of a certain type of electrical

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Reference no: EM13612053

The time to failure of a certain type of electrical component is assumed to follow an exponential distribution with a mean of 5 years. The manufacturer replaces free all components that fail while under guarantee.

(a) What percentage of the components will fail within a year?

(b) What is the probability a components will fail in 1 years?

(d) If the manufacturer wants to replace a maximum of 3.00 % of the components, for how long should the manufacturer's stated guarantee (in years) on the component be?

(e) By redesigning the component, the manufacturer could increase the life. What does the mean time to failure have to be so that the manufacturer can offer a one year guarantee, yet still replace at most 3.00 % of the components?

Reference no: EM13612053

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