Explain Why the Following Is or Is Not a Valid $$\begin{array} { | c | c | c | c | c | c | } \hline x & 1 & 0 & 1 & 2 & 3 \\\hline p ( x ) & .1 & .2 & .3 & .3 & .1 \\\hline\end{array}$$

question 81

Essay

Explain why the following is or is not a valid probability distribution for the discrete
random variable x. $$\begin{array} { | c | c | c | c | c | c | } \hline x & 1 & 0 & 1 & 2 & 3 \\\hline p ( x ) & .1 & .2 & .3 & .3 & .1 \\\hline\end{array}$$

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Definitions:

Fall Asleep

is the process of transitioning from wakefulness into sleep.

Healthier Lifestyle

A way of living that seeks to improve and maintain one's health and well-being, often involving regular physical activity, a balanced diet, and stress management.

Apnea

A complete absence of respirations.

Polysomnography

Electroencephalographic recording of activity (movements, struggling, noisy respirations) during sleep.