Obtain the Probability Distribution of the Random Variable A) B)

question 78

Multiple Choice

Obtain the probability distribution of the random variable.
-The following table displays a frequency distribution for the number of living grandparents for students at a high school. For a randomly selected student in the school, let X denote the number of Living grandparents of the student. Obtain the probability distribution of X. $\begin{array}{r|rrrrr}\text { Number of living grandparents } & 0 & 1 & 2 & 3 & 4 \\\hline \text { Frequency } & 38 & 85 & 157 & 216 & 154\end{array}$

• A)
• \(\begin{array}{r|r}
• \text { Grandparents } & \text { Probability } \\
• \mathrm{x} & \mathrm{P}(\mathrm{X}=\mathrm{x}) \\
• \hline 0 & 0.066 \\
• 1 & 0.146 \\
• 2 & 0.242 \\
• 3 & 0.317 \\
• 4 & 0.229
• \end{array}\)
• B)
• \(\begin{array}{r|r}
• \text { Grandparents } & \text { Probability } \\
• \mathrm{x} & \mathrm{P}(\mathrm{X}=\mathrm{x}) \\
• \hline 0 & 0.2 \\
• 1 & 0.2 \\
• 2 & 0.2 \\
• 3 & 0.2 \\
• 4 & 0.2
• \end{array}\)
• C)
• \(\begin{array}{r|r}
• \text { Grandparents } & \text { Probability } \\
• \mathrm{x} & \mathrm{P}(\mathrm{X}=\mathrm{x}) \\
• \hline 1 & 0.139 \\
• 2 & 0.257 \\
• 3 & 0.353 \\
• 4 & 0.252
• \end{array}\)
• D)
• \(\begin{array}{r|r}
• \text { Grandparents } & \text { Probability } \\
• \mathrm{x} & \mathrm{P}(\mathrm{X}=\mathrm{x}) \\
• \hline 0 & 0.058 \\
• 1 & 0.131 \\
• 2 & 0.242 \\
• 3 & 0.332 \\
• 4 & 0.237
• \end{array}\)

Identify the impact of income distribution on various population segments.

Compare the degree of income inequality among different populations or countries using the Gini ratio and Lorenz curve.

Understand the factors contributing to income inequality, including government actions and individual circumstances.

Recognize the implications of certain policies on income distribution and inequality.

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Definitions:

Advertise

The act of promoting products, services, or ideas through various media channels to attract public interest or attention.

Home Literacy

Involves the practices and activities related to reading and writing that occur in a home environment, contributing to the development of literacy skills.

Off-school Sites

Locations outside of the traditional school environment where educational, recreational, or developmental activities for students are conducted.

Family Participation

The involvement of family members in the educational and developmental process of a child, which can positively impact learning outcomes.