The Table Shows Crashworthiness Ratings for Several Categories of Motor

question 146

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) \(\begin{array} { l }
• x&3&2&1&0\\P(X=x)&0.10625&0.1&0.6875&0.10625
• \end{array}\)

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Definitions:

Random Sample

A subset of a population chosen in such a way that every member has an equal chance of being included, ensuring the sample’s representativeness.

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Infectious Diseases

Diseases caused by pathogens such as bacteria, viruses, fungi, or parasites, that can be transmitted from one individual to another.

Sociological Perspective

An approach to understanding human behavior by placing it within its broader social context.