Q2 Cars arrive at a parking lot at a rate of 20 per hour. Assume that a Poisson process model is appropriate. Answer the following questions. No derivations are needed but a justification of your answers is necessary. Q2(i.) What assumptions are necessary to model the arrival of cars as a Poisson process? Q2(ii.) What is the expected number of cars that arrive between 10:30 a.m. and 12:45 p.m.? Q2(iii.) Suppose you walk into the parking lot at 11:05 a.m.; how long do you have to wait on average to see a car entering the lot?

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Q2 Cars arrive at a parking lot at a rate of 20 per hour. Assume that a Poisson process model is
appropriate. Answer the following questions. No derivations are needed but a justification of your
answers is necessary.
Q2(i.) What assumptions are necessary to model the arrival of cars as a Poisson process?
Q2 (ii.) What is the expected number of cars that arrive between 10:30 a.m. and 12:45 p.m.?
Q2 (iii.) Suppose you walk into the parking lot at 11:05 a.m.; how long do you have to wait on
average to see a car entering the lot?
Q2 (iv.) Assume that the lot opens at 8 a.m. what is the expected time at which the tenth car
arrives at the parking lot.
Transcribed Image Text:Q2 Cars arrive at a parking lot at a rate of 20 per hour. Assume that a Poisson process model is appropriate. Answer the following questions. No derivations are needed but a justification of your answers is necessary. Q2(i.) What assumptions are necessary to model the arrival of cars as a Poisson process? Q2 (ii.) What is the expected number of cars that arrive between 10:30 a.m. and 12:45 p.m.? Q2 (iii.) Suppose you walk into the parking lot at 11:05 a.m.; how long do you have to wait on average to see a car entering the lot? Q2 (iv.) Assume that the lot opens at 8 a.m. what is the expected time at which the tenth car arrives at the parking lot.
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