Question: 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

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 Poisson process of rate

/3. 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 a + /3.

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!

Q:

QUESTION 2 Not complete Marked out of 1.00 Flag question Percent Depleted Evergreen Company acquired property for $4,800,000 to harvest timber on January 1, 2014. Evergreen estimated that the land...

Q:

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...

Q:

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...

Q:

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...

Q:

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...

Q:

BA 1605: Midterm Recap (Due: Feb. 27, 2015) Name _____________________________ 50 Student ID _____________________________ Section 01B 10:00~11:20 am Section 02B 01:00~02:20 pm [Questions 4 ~ 7] The...

Q:

MATH S350 TMA 01 Hints Question 1 Let A and B be the event that water is contaminated with excessive amount of pollutant A and pollutatnt B respectively. Remarks: 1. Half of those communities whose...

Q:

solve these practice problems Suppose the sediment density (g/cm) of a randomly selected specimen from a certain region is normally distributed with mean 2.65 and standard deviation .85 (suggested in...

Q:

The number of traffic accidents that occur on a particular stretch of road during a month follows a Poisson distribution with a mean of 7.6. Find the probability that less than three accidents will...

Q:

The by - law enforcement office of a small town is responsible for fielding and investigating calls about problems such as property standards, parking and noise complaints. For simplicity, assume the...

Q:

The by - law enforcement office of a small town is responsible for fielding and investigating calls about problems such as property standards, parking and noise complaints. For simplicity, assume the...

Q:

Prepare a report to send to the CEO of Bounce Fitness and the Board to get approval for your plan. Ensure You must include the following points in your report and how the operational plan was...

Q:

A small nonprofit organization is planning a door-to-door marketing campaign to sell Christmas wrapping and gifts. They plan to visit 10 homes. Consultants have estimated that they should expect to...

Q:

What is not a warning sign within the financial statements? Question 5 options: A company reports a decreasing number of shares outstanding. A company depreciates its assets much slower than an...

Q:

Server farms such as Google and Yahoo! provide enough compute capacity for the highest request rate of the day. Imagine that most of the time these servers operate at only 60% capacity. Assume...