Question: 5.1.2 Suppose that minor defects are distributed over the length of a cable as a Poisson process with rate , and that, independently, major defects

5.1.2 Suppose that minor defects are distributed over the length of a cable as a Poisson process with rate , and that, independently, major defects are distributed over the cable according to a Poisson process of rate . Let X.t/ be the number of defects, either major or minor, in the cable up to length t. Argue that X.t/

must be a Poisson process of rate C.

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 Probability And Stochastic Modeling Questions!

A wooden beam reinforced with an aluminium channel, as illustrated in the figure, has a rectangular cross-section measuring 150 mm by 250 mm. The aluminium channel has a uniform wall thickness of 6...

Question 4 thank you 1/(2 + 2) for j = 0, 1, ...,i + 1. Find its stationary distribution. 4. (Problem 5.1.2 in Pinsky and Karlin) Suppose that minor defects are distributed over the length of a cable...

1.2. Suppose that minor defects are distributed over the length of a cable as a Poisson process with rate a, and that, independently, major defects are distributed over the cable according to a...

1.2. Suppose that minor defects are distributed over the length of a cable as a Poisson process with rate a, and that, independently, major de- fects are distributed over the cable according to a...

Suppose that minor defects are distributed over the length of a cable according to a Poisson process with rate 9 per meter and, independently, major defects are distributed over the same cable...

I'm in desperate for help. It's due on next Tuesday midnight. Attached files contain all the requirements of this individual project. I also added some hint on word file and ppt file to mark the...

please answer the questions below Exercise 10.8 and Ch 9 Comprehension question 5 ACCT 3321 Financial Accounting Theory and Practice Select solutions to Week 6 workshop: Leases Chapter 10,...

Part B You are provided with the information below on Busy Body Marine Pty Ltd (BBM), an entity that makes, distributes and repairs marine engines. The end of the reporting period is June 30....

PROBLEM NO. 1 Dallas Corporation is selling audio and video appliances. The company's fiscal year ends on March 31. The following information relates to the obligations of the company as of March 31,...

The provision for warranties at 31 December 2019 was calculated using the following assumptions: There was no balance carried forward from the prior year. Estimated costs of repairs - products with...

Relevant extracts from the financial statements at December 31, 2021 of Cal Company are as follows: Provision for warranties Current, P270,000 Noncurrent, P180,000 Note 35 Contingent liabilities Cal...

Find 11-month interest rate if the price of 5% bond maturing in 5 month is $99 and the price of 8% bond maturing in 11 month is $101. All bonds have $100 face value and pay semi-annual coupons.

A company reports the following: Net sales ..........$1,200,000 Average total assets..... 750,000 Determine the ratio of net sales to assets.

BE 7 - 2 ( LO 7 - 2 , 7 - 3 ) Match the diagnostic analytics to an example or definition. Required: Match the diagnostic analytics to an example or definition.

In this exercise, assume that we are considering enhancing a machine by adding vector hardware to it. When a computation is run in vector mode on the vector hardware, it is 10 times faster than the...