The Table Shows Crashworthiness Ratings for Several Categories of Motor

Multiple Choice

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. $$\begin{array} { | l | l | l | l | l | l | l | } \hline&&\text { Overall Frontal Crash Test Rating }\\\hline & \begin{array} { l } \text { Number } \\\text { Tested }\end{array} & \begin{array} { l } \text { 3 } \\( \text { Good) }\end{array} & \begin{array} { l } \text { 2 } \\\text { (Acceptable) }\end{array} & \begin{array} { l } 1\\\text { (Marginal) } \\\end{array}& \begin{array} { l } 0\\\text { (poor) } \\\end{array} \\\hline \text { Small Cars } X & 16 & 1 & 11 & 2 & 2 \\\hline \text { Small SUVs } Y & 10 & 1 & 4 & 4 & 1 \\\hline \text { Medium SUVs } Z & 13 & 2 & 5 & 2 & 4 \\\hline \text { Passenger Vans } U & 11 & 2 & 0 & 2 & 7 \\\hline \text { Midsize Cars } V & 14 & 2 & 5 & 0 & 7 \\\hline \text { Large Cars } W & 19 & 9 & 5 & 3 & 2 \\\hline\end{array}$$
Compute the probability distribution for X.

A) $\begin{array} { l } x & 3&2&1&0\\P ( X = x ) &0.1&0.6875&0.10625&0.10625 \\\end{array}$
B) $\begin{array} { l } x & 3&2&1&0\\P ( X = x ) &0.125&0.0625&0.6875&0.125 \\\end{array}$
C) $\begin{array} { l } x & 3&2&1&0\\P ( X = x ) &0.0625&0.6875&0.125&0.125 \\\end{array}$
D) $\begin{array} { l } x & 3&2&1&0\\P ( X = x ) &0.125&0.125&0.6875&0.0625 \\\end{array}$
E) $\begin{array} { l }x&3&2&1&0\\P(X=x) &0.10625&0.1&0.6875&0.10625\end{array}$