Customers arrive randomly at a Walgreens at an average rate of 100 per hour.
a. A customer has just arrived. What is the probability that the next customer will arrive within the 30 seconds?
b. What is the probability that 10 or more customers will arrive in the next 5 minutes?
c. It's been eight minutes since the last customer arrived. What is the probability that the next customer will arrive within the next 30 seconds?