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

question 19

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 $$\left( \frac { 1 } { 2 } \leq X \leq 1 \right)$$ .
Enter just a reduced fraction representing $\operatorname { Pr } \left( \frac { 1 } { 2 } \leq X \leq 1 \right)$ Do not label.

Comprehend medical procedures related to the diagnosis and treatment of cardiovascular diseases.

Understand the physiological aspects of blood circulation within the heart.

Familiarize with the medical devices and instruments used in cardiology.

Recognize patterns and symptoms of cardiovascular abnormalities.

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Definitions:

Suicide Rate

The proportion of individuals within a population who take their own lives over a specific period, often presented per 100,000 individuals.

Accidents

Unintended and unforeseen events that cause harm, injury, damage, or loss.

Homicide

Homicide is the act of killing one human being by another, ranging in context from unintentional, negligent acts to premeditated murder, with legal classifications varying significantly by jurisdiction.

Suicide

Intentionally bringing about one's own demise.