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Let f(x)={klnxx4 if x>10 otherwise f ( x ) = \left\{ \begin{array} { l l } \frac { k \ln x } { x ^ { 4 } } & \text { if } x > 1 \\0 & \text { otherwise }\end{array} \right.

Question 36

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Let f(x)={klnxx4 if x>10 otherwise f ( x ) = \left\{ \begin{array} { l l } \frac { k \ln x } { x ^ { 4 } } & \text { if } x > 1 \\0 & \text { otherwise }\end{array} \right. (a) Find k so that f can serve as the probability density function of a random variable X.(b) Find P(X>e)P ( X > e ) .(c) Find the mean.

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