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Mathematics, 19.03.2021 18:20 toya96

Every morning I take either bus number 5 or bus number 8 to work. Every morning the waiting time for the number 5 is exponential with mean 10 minutes, while the waiting time for the number 8 is exponential with mean 20 minutes. Assume all waiting times are independent of each other. Let Sn be the total amount of bus-waiting (in minutes) that I have done during n mornings, and let Tn be the number of times I have taken the number 5 bus during n mornings. a. Find the limit PS( Sn <= 7n)
b. Find the limit lim P(Tn >= 0.6n).

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Every morning I take either bus number 5 or bus number 8 to work. Every morning the waiting time for...

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