Question

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 S be the total amount of bus-waiting (in minutes) that I have done duringn mornings, and let T, be the number of times I have taken the number 5 bus during n mornings. a) Find the limit i, PS, s 7nl (b) Find the limit lim P(T 0.6n). 1-00 Hint. Recall Examples 6.33 and 6.34.

Answer 1

The answer and procedures of the exercise are attached in the following archives.

Step-by-step explanation:

You will find the procedures, formulas or necessary explanations in the archive attached below. If you have any question ask and I will aclare your doubts kindly.