Nlin and him: of Exponential [7 points each] Let X1,X2 and X3 be IID exponential random variables with A = 1. Let Y = min{X1,X2._ X3} and Z = max{X1._X2_.X3}. - Show that Y is exponentially distributed with parameter 3A. 9 Using the following identity for any real numbers a, b and c: max{cr.._ b, c} = a: + E! + c min{a, b} min{5, c} min{a, C} + min{a, b, :3}, nd the expected value of Z