On Cold Mornings, the Probability That David's Car Won't Start

question 75

Multiple Choice

On cold mornings, the probability that David's car won't start is 0.22. When it doesn't start, he takes the bus and is late for work. When it does start, he drives to work on the freeway. Sixty-five percent of the time the freeway is clear, and he gets to work on time. The rest of the time he is late. Simulate 10 consecutive days' worth of trips to work using the random numbers given (use the smaller numbers to represent "car won't start" and "freeway clear") .
Random numbers:
$$\begin{array} { | c | c | } \hline \text { Car } & \text { Traffic } \\\hline 0.7772 & 0.2282 \\\hline 0.2902 & 0.3674 \\\hline 0.8120 & 0.1654 \\\hline 0.2259 & 0.6909 \\\hline 0.0527 & 0.7010 \\\hline 0.2958 & 0.9802 \\\hline 0.2891 & 0.5615 \\\hline 0.0131 & 0.5604 \\\hline 0.5219 & 0.4361 \\\hline 0.9949 & 0.1405 \\\hline\end{array}$$
How many times is David late for work because his car won't start?

• A) 0.
• B) 1.
• C) 2.
• D) 3.
• E) 4.

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Definitions:

Treadle Valve

A treadle valve regulates air pressure in a pneumatic system, often found in heavy vehicles like trucks and buses, controlling braking force by the amount of pressure applied by the driver's foot.

Metered Out

In fluid dynamics and pneumatics, refers to the controlled release or distribution of a fluid at a measured rate from a system.

Primary Piston

The main piston in a hydraulic or pneumatic system that initiates movement or pressure in the system.

Service Oversize Dimension

A sizing specification for parts or components that are larger than standard dimensions, used during repair or rebuild to accommodate wear.