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If F(x) = 6x(1 - X) Is a Probability Density (12X1)\left( \frac { 1 } { 2 } \leq X \leq 1 \right)

Question 36

Short Answer

If f(x) = 6x(1 - x) is a probability density function for 0 ≤ x ≤ 1, find F(x), the corresponding cumulative distribution function and use it to find Pr (12X1)\left( \frac { 1 } { 2 } \leq X \leq 1 \right) .
Enter just a reduced fraction representing Pr(12X1)\operatorname { Pr } \left( \frac { 1 } { 2 } \leq X \leq 1 \right) Do not label.

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