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(A) Show That p(x)={(2k)x3+k if x10 otherwise p ( x ) = \left\{ \begin{array} { l l } ( 2 - k ) x ^ { - 3 + k } & \text { if } x \geq 1 \\0 & \text { otherwise }\end{array} \right.

Question 182

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(a) Show that p(x)={(2k)x3+k if x10 otherwise p ( x ) = \left\{ \begin{array} { l l } ( 2 - k ) x ^ { - 3 + k } & \text { if } x \geq 1 \\0 & \text { otherwise }\end{array} \right. where k is fixed and 0<k<10 < k < 1 is a probability density function.(b) What is the mean for this distribution?
(c) Calculate the median of pp

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