Exercise 18 (i) Show that the formula R(t) ER average award per cycle lim tut ET average length of a cycle also holds wh

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Exercise 18 I Show That The Formula R T Er Average Award Per Cycle Lim Tut Et Average Length Of A Cycle Also Holds Wh 1 (44.72 KiB) Viewed 100 times

Exercise 18 (i) Show that the formula R(t) ER average award per cycle lim tut ET average length of a cycle also holds when the rewards are paid out at the beginning instead of at the end of each cycle. (ii) Explain why the same formula continues to hold when each reward is paid out continuously and uniformly throughout the cycle. Exercise 19 At the checkout of a supermarket, customers are being served one after another. The service times of the customers are i.i.d. and exponentially distributed with parameter 1 = 20. (i) On average, how long is the total service time per customer? (ii) On average, how long is the remaining service time for the current customer at the server?