Consider the gamma failure time distribution with = 2 and = 1 given by the density function a. Find F(t). te -t dt

Consider the gamma failure time distribution with α = 2 and β = 1 given by the density function

a. Find F(t). ∫te^-t dt = -te^-t + ∫e^-t dt

b. Find expressions for the reliability R(t) and the hazard rate z(t).

c. Use the results of part b to find R(3) and z(3). Interpret these values.

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