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Suppose you travel from Los Angeles to Las Vegas on a self-driving car. Before the trip, you program the car to keep the speed a

Suppose you travel from Los Angeles to Las Vegas on a self-driving car. Before the trip, you program the car to keep the speed a constant value randomly chosen between 30 to 60 miles per hour. You know that the distance you travel is exactly 270 miles. What is the probability density function of the time duration of your trip?

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