Exponential probability distribution with mean, Basic Statistics

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Exponential probability distribution with mean

Assignment:

The time between arrivals of vehicles at a particular intersection follows an exponential probability distribution with a mean of 12 seconds.

Q1. What is the probability that the arrival time between vehicles is 12 seconds or less (to 4 decimals)?

Q2. What is the probability that the arrival time between vehicles is 6 seconds or less (to 4 decimals)?

Q3. What is the probability of 30 or more seconds between vehicle arrivals (to 4 decimals)?

Provide complete and step by step solution for the question and show calculations and use formulas.

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Basic Statistics: Exponential probability distribution with mean

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