Suppose that, on average, 20 customers arrive every hour at a twenty-four-hour coffee shop. Assume that the time between customer arrivals is exponentially distributed. Determine
a. The probability that a customer arrives within the next 2 minutes.
b. The probability that the time between two arriving customers will be between 1 and 4 minutes.
c. The probability that 5 or more minutes will pass between customer arrivals.