We consider a  model for systems perturbed by dichotomous noise, in which 
the hazard rate function of a random lifetime is subject to additive 
time-alternating perturbations described by the telegraph process. This leads 
us to define a real-valued continuous-time stochastic process of alternating type 
expressed in terms of the integrated telegraph process for which we obtain the 
probability distribution, mean and variance. An application to survival analysis 
and reliability data sets based on confidence bands for estimated hazard rate 
functions is also provided.