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

question 116

Multiple Choice

Obtain the probability distribution of the random variable.
-The following frequency table contains data on home sale prices in the city of Summerhill for the month of June. For a randomly selected sale price between $80,000 and $265,900 let X denote the Number of homes that sold for that price. Find the probability distribution of X. $\begin{array}{c|c}\text { Sale Price (in thousands) } & \begin{array}{c}\text { Frequency } \\\text { (No. of homes sold) }\end{array} \\\hline 80.0-110.9 & 2 \\111.0-141.9 & 5 \\142.0-172.9 & 7 \\173.0-203.9 & 10 \\204.0-234.9 & 3 \\235.0-265.9 & 1\end{array}$

• A)
• \(\begin{array}{c|c}
• \text { Sale Price (in thousands) } & \begin{array}{c}
• \text { Probability } \\
• (\mathrm{P}(\mathrm{X}=\mathrm{x})
• \end{array} \\
• \hline 80.0-110.9 & 0.071 \\
• 111.0-141.9 & 0.179 \\
• 142.0-172.9 & 0.250 \\
• 173.0-203.9 & 0.357 \\
• 204.0-234.9 & 0.107 \\
• 235.0-265.9 & 0.360
• \end{array}\)
• B)
• \(\begin{array}{c|c}
• \text { Sale Price (in thousands) } & \begin{array}{c}
• \text { Probability } \\
• (\mathrm{P}(\mathrm{X}=\mathrm{x})
• \end{array} \\
• \hline 80.0-110.9 & 0.071 \\
• 111.0-141.9 & 0.179 \\
• 142.0-172.9 & 0.025 \\
• 173.0-203.9 & 0.357 \\
• 204.0-234.9 & 0.107 \\
• 235.0-265.9 & 0.036
• \end{array}\)
• C)
• \(\begin{array}{c|c}
• \text { Sale Price (in thousands) } & \begin{array}{c}
• \text { Probability } \\
• (\mathrm{P}(\mathrm{X}=\mathrm{x})
• \end{array} \\
• \hline 80.0-110.9 & 0.071 \\
• 111.0-141.9 & 0.197 \\
• 142.0-172.9 & 0.250 \\
• 173.0-203.9 & 0.357 \\
• 204.0-234.9 & 0.107 \\
• 235.0-265.9 & 0.036
• \end{array}\)
• D)
• \(\begin{array}{c|c}
• \text { Sale Price (in thousands) } & \begin{array}{c}
• \text { Probability } \\
• (\mathrm{P}(\mathrm{X}=\mathrm{x})
• \end{array} \\
• \hline 80.0-110.9 & 0.071 \\
• 111.0-141.9 & 0.179 \\
• 142.0-172.9 & 0.250 \\
• 173.0-203.9 & 0.357 \\
• 204.0-234.9 & 0.107 \\
• 235.0-265.9 & 0.036
• \end{array}\)

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