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A Random Variable X Has a Density Function F(x) = 1ln⁡16\frac { 1 } { \ln 16 }

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A random variable X has a density function f(x) = 1ln⁡16\frac { 1 } { \ln 16 } ∙ 1x\frac { 1 } { x } , 1 ≤ x ≤ 16. Find a such that Pr⁡(1≤X≤a)=34\operatorname { Pr } ( 1 \leq X \leq a ) = \frac { 3 } { 4 } .
Enter just an integer, no labels.

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