The times between the arrivals of taxis at a rank are independent and have an exponential distribution

Question:

The times between the arrivals of taxis at a rank are independent and have an exponential distribution with parameter \(\lambda=4\left[h^{-1}\right]\). An arriving customer does not find an available taxi and the previous one left 3 minutes earlier. No other customers are waiting. What is the probability that the customer has to wait at least 5 minutes for the next free taxi?

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For  book-img-for-question
Question Posted: