In the following exercises, clearly define all random variables of interest and

Question

In the following exercises, clearly define all random variables of interest and identify which distribution and set of parameters can be used to describe each random variable. Be aware that some problems will require you to redefine your random variable of interest as well as the distribution and parameters that can be used to describe it. When designing the left-turn bay at a state highway intersection, an engineer must take into account the lane distance, in terms of car lengths, that will be sufficient 96% of the time. The mean rate of left turns at the intersection is 100 per hour. Determine the lane distance in terms of car lengths that satisfies the 96% sufficiency criterion for a 1-min cycle time of the traffic light for left turns.

Explanation / Answer

Random variable: Continuous , The length of the car is continuous random variable. Distribution: The random variable" length of the car" follows normal distribution. Parameter: The mean rate of car lengths,

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