Give the Probability Distribution for the Indicated Random Variable A) $\begin{array} { l } x & 0 & 3& 6 \\P ( X = x ) &\frac { 1 } { 4 } &\frac { 1 } { 4 } & \frac{ 1 } { 2 } \\\end{array}$

question 55

Multiple Choice

Give the probability distribution for the indicated random variable.
A black and white die are rolled, and consider the following random variable.
$X = \left\{ \begin{array} { l } 0 , \text { if both numbers are odd } \\3 , \text { if one number is odd and one is even } \\6 , \text { if both numbers are even }\end{array} \right.$

• A) \(\begin{array} { l }
• x & 0 & 3& 6 \\
• P ( X = x ) &\frac { 1 } { 4 } &\frac { 1 } { 4 } & \frac{ 1 } { 2 } \\
• \end{array}\)
• B) \(\begin{array} { l }
• x & 0 & 3& 6 \\
• P ( X = x ) &\frac { 2 } { 3} &\frac { 1 } { 6 } & \frac{ 1 } { 6 } \\
• \end{array}\)
• C) \(\begin{array} { l }
• x & 0 & 3& 6 \\
• P ( X = x ) &\frac { 1 } { 3 } &\frac { 1 } { 3 } & \frac{ 1 } { 3 } \\
• \end{array}\)
• D) \(\begin{array} { l }
• x & 0 & 3& 6 \\
• P ( X = x ) &\frac { 1 } { 2 } &\frac { 1 } { 4 } & \frac{ 1 } { 4 } \\
• \end{array}\)
• E) \(\begin{array} { l }
• x & 0 & 3& 6 \\
• P ( X = x ) &\frac { 1 } { 4 } &\frac { 1 } {2 } & \frac{ 1 } { 4 } \\
• \end{array}\)

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Definitions:

Human Genome

The complete set of nucleic acid sequences for humans, encoded as DNA within the 23 chromosome pairs in cell nuclei and in a small DNA molecule found within individual mitochondria.

Genes

are units of hereditary information consisting of DNA sequences that code for proteins or functional RNA molecules.

Human Genome Project

An international scientific research project aimed at mapping and understanding all the genes of the human species.

Genetic Variations

Genetic variations refer to differences in the DNA sequences among individuals, which contribute to the diversity in physical appearance, health conditions, and responses to the environment.