Question

3. You are waiting at a bus stop and can take any one of two buses Bus 1 or Bus 2. Bus 1 comes every 5 minutes and Bus 2 every 10 minutes. Further assume that the waiting times are memoryless in the sense that the amount of time since the previous bus arrived does not affect how much time to wait until the next bus comes and that the waiting times for each of the three buses are independent. (a) (4 points) What distribution would you use to model how long it it will take for Bus 1 to arrive (specify (b) (4 points) Use the distributions you determined in part (a). How long do you expect to wait for either (c) (4 points) What distribution would you use to model the total number of buses 1, and 2 arrive over a (d) (4 points) Use the distribution you determined in part (c). What is the chance that 2 or fewer buses all related parameters)? Do the same for Bus 2. of the 2 buses, 1 or 2 to arrive? 30 minute period? (out of any of Bus 1 or 2) arrive over a 30 minute period?

Answer 1

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