Consider the piecewise linear bathtub hazard function defined over the three regions of interest given below. The constants in the expressions are determined so that they satisfy the normal requirements for h(t) to be a hazard function. 

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[h(t)=Db-ct, h(1)={h;(1)=b- G4 - c2(1-4), h(t)%3Db-G4-c(12-4)+c(t-1), <IS0. 4SISH Develop the equations for the reliability function and the probability density function for the time to failure random variable based on the above hazard function. [h(t)=Db-ct, h(1)={h;(1)=b- G4 - c2(1-4), h(t)%3Db-G4-c(12-4)+c(t-1), <IS0. 4SISH Develop the equations for the reliability function and the probability density function for the time to failure random variable based on the above hazard function.