Discuss the below:
Q: Hungry people come to Harry's Hot-Dog Stand, following a Poisson distribution, on average one person every other minute. It takes Harry about 87 seconds to serve one customer (exponential).
a. How long, on average, does it take for a hungry person to get a hot dog (including the time that they wait in line and the time that it takes for the transaction)?
b. What is the probability that a hungry person will be able to step right up and buy a hot dog without waiting?
c. What is the average number of hungry people waiting in line at Harry's?