Question: Consider a Poisson input process where the arrival rate is 4/hour. Consider 1 = number of arrivals between 1pm and 3pm 2 =number of arrivals

Consider a Poisson input process where the arrival rate is 4/hour. Consider

1 = number of arrivals between 1pm and 3pm

2 =number of arrivals between 2pm and 4pm.

Compute the probability that 2 = 8, given that 1 = 4.

Hint: 1 and 2 are not independent since they have the time window from 2pm to 3pm in common.

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

Q:

Consider a Poisson input process where the arrival rate is 4/hour. Consider N1 = number of arrivals between 1pm and 3pm, N2 =number of arrivals between 2pm and 4pm. Compute the probability that N2 =...

Q:

Queuing system; 1. Consider a Poisson arrival process with average arrival rate 1. We know that the inter- arrival time from such a process has an exponential distribution with parameter 1. Show that...

Q:

Chapter 4: Introduction to Simio Modeling and Output Analysis - Consider a simple single-server queueing system with arrival rate =48 entities/hour and service rate =60 entities/hour Figure 1:...

Q:

U.S. Copyright Law (title 17 of U.S. code) governs the reproduction and redistribution of copyrighted material. Downloading this document for the purpose of redistribution is prohibited. Chapter 15...

Q:

please explain step by step Chapter 3 Q3.3. Cranberry Cranberries arrive at a rate of 150 barrels per hour. They get processed at a rate of 100 barrels per hour. Thus, inventory accumulates at a rate...

Q:

Pacific National Bank is a medium-size bank with 21 branches in the San Francisco Bay Area. Until very recently, Pacific did not operate its own automatic teller machines (ATMs); instead, it relied...

Q:

-------------------------------------------------------- these equation to help you for solution F F G H . J K L M M A B D E Chapter 11 Queueing Theory 1 2 4 5 6 6 7 8 3 Q-2: (Is it better to train...

Q:

1) A suburban specialty restaurant has developed a single drivethru window. Customers order, pay, and pick up their food at the same window. Arrivals follow a Poisson distribution, while service...

Q:

5. (35 points total) Consider a small temporary medical facility constructed to process incoming patients having probable COVID-19. The temporary structure is small and has four staffed tringe rooms...

Q:

CMPE 107 Spring 2016 Take-Home Exam MUST BE SUBMITTED IN HARD COPY BY JUNE 7 NO LATER THAN 4PM [in JJ's office or with Ali in E2 315] Grading system: presentation = 25%, content = 75% Last Name:...

Q:

The manager of the health clinic in Problem 5 would also like to use exponential smoothing to forecast demand for emergency services in the facility. As in Problem 5, she is not sure whether to use a...

Q:

The following table shows the annual returns (in percent) for T-Rowe Prices Value and International Stock funds for the time period 20052009. a. Calculate and interpret the covariance between the...

Q:

On July 1 of the current year, Roberto forms New You Corporation. In exchange for 1 0 0 % of the corporation's stock, Roberto contributes land with a fair market value of $ 1 0 0 , 0 0 0 . Roberto...

Q:

The owner of a bullding supply compeny has requested a cesh budget for June. After examining the records of the company, you find the following: 3. Cash balance on June 1 is $1,186. b. Actual sales...