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(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. Q2(v.) What is the expected waiting time between the arrival of the 10th and 11th car? Q2(vi.) How is the waiting time between the arrival times of 10th and 12th car distributed? Write the density function of the waiting time.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.6: Applications And The Perron-frobenius Theorem
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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 (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.
Q2(v.) What is the expected waiting time between the arrival of the 10th and 11th car?
Q2(vi.) How is the waiting time between the arrival times of 10th and 12th car distributed? Write
the density function of the waiting time.
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 (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. Q2(v.) What is the expected waiting time between the arrival of the 10th and 11th car? Q2(vi.) How is the waiting time between the arrival times of 10th and 12th car distributed? Write the density function of the waiting time.
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