State Whether or Not Each of the Following Are Valid $\begin{array}{c|cccc}x & 0 & 1 & 2 & 3 \\\hline p(x) & .15 & .25 & .35 & .45\end{array}$

question 23

Essay

State whether or not each of the following are valid probability distributions, and if not, explain why not. a.
$\begin{array}{c|cccc}x & 0 & 1 & 2 & 3 \\\hline p(x) & .15 & .25 & .35 & .45\end{array}$
b.
$\begin{array}{c|cccc}x & 2 & 3 & 4 & 5 \\\hline p(x) & -.10 & .40 & .50 & .25\end{array}$
C.
$\begin{array}{c|ccccc}x & -2 & -1 & 0 & 1 & 2 \\\hline p(x) & .10 & .20 & .40 & .20 & .10\end{array}$

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Definitions:

Multiple Genes

The involvement of two or more genes in influencing a particular trait, characteristic, or phenotype, often leading to a wider range of possible outcomes.

Trait

A distinguishing quality or characteristic, typically one belonging to a person.

Universal Recipients

Individuals, typically with AB+ blood type, who can receive red blood cells from any blood type without risk of an adverse reaction due to the absence of anti-A, anti-B, and anti-Rh antibodies.

Type AB Blood

A blood group characterized by the presence of both A and B antigens on the surface of red blood cells, resulting in the capability to accept A, B, AB, and O blood types.