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

question 154

Multiple Choice

Obtain the probability distribution of the random variable.
-The following table displays a frequency distribution for the number of siblings for students at one middle school. For a randomly selected student in the school, let X denote the number of siblings of
The student. Obtain the probability distribution of X. $\begin{array}{r|rrrrrrrr}\text { Number of siblings } & 0 & 1 & 2 & 3 & 4 & 5 & 6 & 7 \\\hline \text { Frequency } & 192 & 246 & 123 & 56 & 20 & 9 & 5 & 1\end{array}$

• A)
• \(\begin{array}{l}
• \text { Siblings Probability }\\
• \begin{array}{r|r}
• \mathrm{x} & \mathrm{P}(\mathrm{X}=\mathrm{x}) \\
• \hline 1 & 0.535 \\
• 2 & 0.267 \\
• 3 & 0.122 \\
• 4 & 0.043 \\
• 5 & 0.020 \\
• 6 & 0.011 \\
• 7 & 0.002
• \end{array}
• \end{array}\)
• B)
• \(\begin{array}{l}
• \text { Siblings Probability }\\
• \begin{array}{r|r}
• \mathrm{x} & \mathrm{P}(\mathrm{X}=\mathrm{x}) \\
• \hline 0 & 0.294 \\
• 1 & 0.377 \\
• 2 & 0.189 \\
• 3 & 0.086 \\
• 4 & 0.031 \\
• 5 & 0.014 \\
• 6 & 0.008 \\
• 7 & 0.002
• \end{array}
• \end{array}\)
• C)
• \(\begin{array}{r|r}
• \text { Siblings } & \text { Probability } \\
• \mathrm{x} & \mathrm{P}(\mathrm{X}=\mathrm{x}) \\
• \hline 0 & 0.310 \\
• 1 & 0.362 \\
• 2 & 0.201 \\
• 3 & 0.074 \\
• 4 & 0.031 \\
• 5 & 0.014 \\
• 6 & 0.008 \\
• 7 & 0.002
• \end{array}\)
• D)
• \(\begin{array}{r|r}
• \text { Siblings } & \text { Probability } \\
• \mathrm{x} & \mathrm{P}(\mathrm{X}=\mathrm{x}) \\
• \hline 0 & 0.125 \\
• 1 & 0.125 \\
• 2 & 0.125 \\
• 3 & 0.125 \\
• 4 & 0.125 \\
• 5 & 0.125 \\
• 6 & 0.125 \\
• 7 & 0.125
• \end{array}\)

---

Definitions:

Accounting Profit

The net income for a company as calculated according to generally accepted accounting principles (GAAP), taking into account only explicit costs.

Cash Flow

The complete sum of funds being exchanged in and out of a firm, primarily impacting its liquid financial resources.

Depreciation

The reduction in the value of an asset over time, often due to wear and tear.

Accounting Profit

The net income for a company, calculated by subtracting total expenses from total revenues.