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f(x)= 3e^-3x for x>0
a) show that the cumulative distribution function of X is 1-e^-3x
b) show that the median value of X is 0.23, correct to 2 dp
c) write down an expression for P(X>t), where t>0. hence show that the conditional probability P(X>a + b/ X>a) is equal to P(X>b) for any a and b greater than zero
d) explain why the result in part c suggests that X is unlikely to be a fully satisfactory model