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)
• \(\begin{array}{r|r}
• \text { Grandparents } & \text { Probability } \\
• \mathrm{x} & \mathrm{P}(\mathrm{X}=\mathrm{x}) \\
• \hline 0 & 0.058 \\
• 1 & 0.131 \\
• 2 & 0.242 \\
• 3 & 0.332 \\
• 4 & 0.237
• \end{array}\)

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Definitions:

Overhead Applied

The portion of manufacturing overhead costs allocated to individual products or job orders based on a predetermined overhead rate.

Products

Goods or commodities that are manufactured or refined for sale.

Variable Overhead Efficiency Variance

The difference between actual hours taken to produce something and the standard hours expected, multiplied by the variable overhead rate.

Budget Variance

The difference between the budgeted or planned amount of expense or revenue, and the actual amount incurred or received.