## 3. The probability density function for mechanical component is given by: fT(t) = 1/(b-a) when t <=a<=b = 0; elsewhere Determine: • Cumulative distribution of the failures (5 points) • Reliability of the components (5 points) • Hazard rate for the components (5 points) • Mean, standard deviation of the failure distribution and reliability of components at the end of 2 years, when c=0.0025 (5 points) • Plot the probability density function, probability time distribution function, Reliability function and Hard Rate function for the given distribution when a=6000 and b=12000 (5 points)

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