Question: There is a line to get into a store. They take in a group of 20 customers at a time an average of four times

There is a line to get into a store. They take in a group of 20 customers at a time an average of four times per hour. Assume that the waiting time is exponential. You arrive at the store and there are twenty people in line ahead of you who are just being let in. Find the probability of waiting at least 10 minutes. A second person joins the line after you have waited 10 minutes. What is the probability that they have to wait at least 10 minutes?

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