For T Exponential(?),,(1) Calculate F(t) = P(T?t). For a > b > 0, find P(T > a|T > b).,(2) Calculate E[T] and Var[T].,(3) If U ?Uniform[0; 1], let X =-log(U/??-log U/?. Calculate F(x) )P(X ), calculate f(x)=P(X?x),and f(x) = F'(x).,What is the distribution of X?,(4) Let Y = aT where a > 0. What is the density function of Y