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The number of cars arriving at a gas station follows a Poisson distribution with μ=20 customers...

The number of cars arriving at a gas station follows a Poisson distribution with μ=20 customers in an hour.

  1. Let X= waiting time (in minutes) between two arrivals. What is the distribution of X?

  2. What is the probability of having no arrivals in a 10-minute interval?

  3. What is the probability that the next arrival is within 5 minutes?

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