Can you assist me with question 3 (last question D) I've made attempts to solve but still don't understand. Can you please write the process out step by step? It's easier to follow along. Thank you kindly c. What is the utilization of the inspector? (Round your answer to 1 decimal place.)UtilizationAnswer is complete and correct.83.3d. What is the probability that when you arrive there will be three or more vehicles ahead of you? (Round your intermediatecalculations to 3 decimal places and final answer to 1 decimal place.)Answer is complete but not entirely correct.Probability58.8 %He At a border inspection station, vehicles arrive at the rate of 10 per hour in a Poisson distribution. For simplicity in this problem, assumethere is only one lane and one inspector, who can inspect vehicles at the rate of 12 per hour in an exponentially distributed fashion.a. What is the average length of the waiting line? (Round your answer to 2 decimal places.)Average lengthAnswer is complete and correct.4.17 customersb. What is the average time that a vehicle must wait to get through the system?Average timeAnswer is complete and correct.30 minutes

Can you assist me with question 3 (last question D) I've made attempts to solve but still don't understand. Can you please write the process out step by step? It's easier to follow along. Thank you kindly

Can you assist me with question 3 (last question D) I've made attempts to solve but still don't understand. Can you please write the process out step by step? It's easier to follow along. Thank you kindly

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Question

c. What is the utilization of the inspector? (Round your answer to 1 decimal place.)
Utilization
Answer is complete and correct.
83.3
d. What is the probability that when you arrive there will be three or more vehicles ahead of you? (Round your intermediate
calculations to 3 decimal places and final answer to 1 decimal place.)
Answer is complete but not entirely correct.
Probability
58.8 %
He

At a border inspection station, vehicles arrive at the rate of 10 per hour in a Poisson distribution. For simplicity in this problem, assume
there is only one lane and one inspector, who can inspect vehicles at the rate of 12 per hour in an exponentially distributed fashion.
a. What is the average length of the waiting line? (Round your answer to 2 decimal places.)
Average length
Answer is complete and correct.
4.17 customers
b. What is the average time that a vehicle must wait to get through the system?
Average time
Answer is complete and correct.
30 minutes

Expert Solution

Step 1

It is given that the vehicles arriving rate is 10 per hour and it follows a Poisson distribution.

The service rate is 12 per hour and it follows a exponential distribution.

Notation: $λ = 10$ and $θ = 12$ .

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

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