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A Random Variable X Has a Probability Density Function F(x) x32\frac { x } { 32 }

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Short Answer

A random variable X has a probability density function f(x) = x32\frac { x } { 32 } , 0x80 \leq x \leq 8 . Find a such that Pr(Xa)=14\operatorname { Pr } ( X \geq a ) = \frac { 1 } { 4 } Enter your answer exactly in the reduced form b c\sqrt { c } , unlabeled.

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Definitions:

Erythrocyte

A red blood cell that carries oxygen from the lungs to the body's tissues and returns carbon dioxide from the tissues back to the lungs.

Polycythemia

Polycythemia is a blood condition characterized by an increased concentration of hemoglobin in the blood, leading to thicker blood.

RBCs

Red Blood Cells, responsible for carrying oxygen throughout the body.

Hyperglycemia

A medical condition characterized by high levels of glucose in the blood, often associated with diabetes.

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