Consider a classroom organized for the elections. There are two identical voting booths in this classroom. On average, one voter arrives in every 8.5 minutes at the classroom according to a Poisson process. Voters use the voting booth for an exponentially distributed amount of time with an average of 12 minutes. Assume that there is enough space outside the classroom and no arrival is rejected due to system capacity. Assume also that there is no upper bound on the number of voters that can arrive at the classroom (even though the real voting system limits the calling population, we have to make this assumption for simplicity). Answer the following questions based on this system and provide units where applicable. Show all your work. a) As an industrial engineer, how can you classify this system using Kendall's notation? Answed b) What is the proportion of time that the voting booths are occupied by voters? Answer c) What is the probability that the system contains no customers? Answer What is the steady-state average number of voters in the system? Answer HINT: You may use the following equations = (cp)" (cp) + Po Po L= cp + n! c(c!)(1 - p) d) On average, how long does a voter spend in hours in the system? Answer hour(s) n0 e) What is the long-run average waiting time in hours per voter? Answer hour(s) f) Consider one of the two identical voting booths. If a voter has been in this voting booth for 10 minutes already, what is the probability that the voter will finish voting and exit the voting booth by 15 minutes in total? Consider a classroom organized for the elections. There are two identical voting booths in this classroom. On average, one voter arrives in every 8.5 minutes at the classroom according to a Poisson process. Voters use the voting booth for an exponentially distributed amount of time with an average of 12 minutes. Assume that there is enough space outside the classroom and no arrival is rejected due to system capacity. Assume also that there is no upper bound on the number of voters that can arrive at the classroom (even though the real voting system limits the calling population, we have to make this assumption for simplicity). Answer the following questions based on this system and provide units where applicable. Show all your work. a) As an industrial engineer, how can you classify this system using Kendall's notation? Answed b) What is the proportion of time that the voting booths are occupied by voters? Answer c) What is the probability that the system contains no customers? Answer What is the steady-state average number of voters in the system? Answer HINT: You may use the following equations = (cp)" (cp) + Po Po L= cp + n! c(c!)(1 - p) d) On average, how long does a voter spend in hours in the system? Answer hour(s) n0 e) What is the long-run average waiting time in hours per voter? Answer hour(s) f) Consider one of the two identical voting booths. If a voter has been in this voting booth for 10 minutes already, what is the probability that the voter will finish voting and exit the voting booth by 15 minutes in total