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.