Consider a renewal process in operation for a long time but put under observation at time...

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Consider a renewal process in operation for a long time but put under observation at time t-0. Assume that a unit undergoing such a renewal process is governed by gamma probability law with failure density: fr(t) =2te^;t> 0, >0. Find (1) renewal function (ii) renewal density (iii) distribution of the residual life time (iv) mean residual life time. Consider a renewal process in operation for a long time but put under observation at time t-0. Assume that a unit undergoing such a renewal process is governed by gamma probability law with failure density: fr(t) =2te^;t> 0, >0. Find (1) renewal function (ii) renewal density (iii) distribution of the residual life time (iv) mean residual life time.