The probability density function for Y is given by fe, y>0 (0, elsewhere And its cumulative distribution function is given by f(y) = 0.0511 a) Use the cumulative distribution method or transformation method to show that is a pivotal quantity. b) Using the pivotal quantity in part a) show that a 90% confidence interval of 0 is given by P(2.996 -e, y>0 0, elsewhere F(y) = =

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