The Table Shows Crashworthiness Ratings for Several Categories of Motor

Short Answer

The table shows crashworthiness ratings for several categories of motor vehicles. Take X as the crash-test rating of a small car, ​Y as the crash-test rating for a small SUV, and so on, as shown in the table. $\begin{array}{l|l|l|l|l|l} \hline&&\text { Overall Frontal Crash Test Rating }\\\hline& \text { Number Tested } & \begin{array}{l}3 \\\text { (Good) }\end{array} & \begin{array}{l}\mathbf{2} \\\text { (Acceptable) }\end{array} & \begin{array}{l}1 \\\text { (Marginal) }\end{array} & \begin{array}{l}0\text { (Poor) }\end{array} \\\hline \text { Small Cars } X & 16 & 1 & 11 & 2 & 2 \\\hline \text { Small SUVs } Y & 10 & 1 & 4 & 4 & 1 \\\hline \text { Medium SUVs } Z & 15 & 3 & 5 & 3 & 4 \\\hline \text { Passenger Vans } U & 14 & 3 & 0 & 3 & 8 \\\hline \text { Midsize Cars } V & 16 & 3 & 5 & 0 & 8 \\\hline \text { Large Cars } W & 19 & 9 & 5 & 3 & 2\\\hline\end{array}$ ​
Compute the probability distribution for X. $$\begin{array} { r | l | l | l | l | } \hline x & 3 & 2 & 1 & 0 \\\hline P ( X = x ) & & & & \\\hline\end{array}$$