Question

**The time between arrivals at a toll booth follows an
exponential distribution with a mean time between arrivals of 2
minutes.**

What is the probability that the time between two successive arrivals will be less than 3 minutes?

What is the probability that the time will be between 3 and 1 minutes?

Answer #1

We are given the mean arrival time here as 2 minutes. Therefore the arrival time distribution here is given as:

a) The probability that the time is less than 3 minutes is computed here as:

**Therefore 0.7769 is the required probability
here.**

b) The probability that the time will be between 3 and 1 minutes is computed here as:

**Therefore 0.3834 is the required probability
here.**

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