At the store 10 cashiers are busy with customers, and you are the next one in the line. Suppose the times cashiers spent on customers are independently and identically distributed following an exponential distribution with a mean of 2 minutes, (a) What is the probability density function of your wait time? (b) If there is only 1 cashier and 36 people in front of you, what is the probability, approximately, that you need to wait more than 144 minutes? Assume the times spent on each customer are independently distributed following an exponential distribution with a mean of 3 minutes. (Hint for (b): CLT).

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