Explain Why the Following Is or Is Not a Valid $$\begin{array} { | c | c | c | c | c | c | } \hline x & 10 & 20 & 30 & 40 & 50 \\\hline p ( x ) & .3 & .2 & .2 & .2 & .2 \\\hline\end{array}$$

question 189

Essay

Explain why the following is or is not a valid probability distribution for the discrete random variable x.
$$\begin{array} { | c | c | c | c | c | c | } \hline x & 10 & 20 & 30 & 40 & 50 \\\hline p ( x ) & .3 & .2 & .2 & .2 & .2 \\\hline\end{array}$$

---

Definitions:

Histamine

Substance, produced by basophils in blood and mast cells in connective tissue, that causes capillaries to dilate.

Capillary Dilation

The enlargement or widening of blood capillaries, which can increase blood flow and reduce blood pressure.

Capillary Osmotic Pressure

The pulling force exerted by proteins in the blood plasma that helps to draw water into the circulatory system from the surrounding tissue.

Edema

Swelling caused by excess fluid trapped in the body's tissues, often affecting the extremities like hands and feet.