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

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