Answered step by step
Verified Expert Solution
Link Copied!

Question

1 Approved Answer

A forest consists of 1,000 trees forming a perfect 5020 rectangle. The northwestern (top-left) corner tree catches fire. Wind blows from the west, therefore, the

A forest consists of 1,000 trees forming a perfect 5020 rectangle. The northwestern (top-left) corner tree catches fire. Wind blows from the west, therefore, the probability that any tree catches fire from its burning left neighbor is 0.8. The probabilities to catch fire from trees immediately to the right, above, or below are all equal 0.3.

  1. Conduct a Monte Carlo study to estimate the probability that more than 30% of the forest will eventually be burning. With probability 0.95, your answer should differ from the true value by no more than 0.005.
  2. Based on the same study, predict the total number of affected trees X.
  3. Estimate Std(X) and comment on the accuracy of your estimator of X.
  4. What is the probability that the actual number of affected trees differs from your estimator by more than 25 trees?
  5. A wooden house is located in the northeastern corner of the forest. Would you advise the owner that her house is in real danger?

Step by Step Solution

There are 3 Steps involved in it

Step: 1

blur-text-image

Get Instant Access to Expert-Tailored Solutions

See step-by-step solutions with expert insights and AI powered tools for academic success

Step: 2

blur-text-image

Step: 3

blur-text-image

Ace Your Homework with AI

Get the answers you need in no time with our AI-driven, step-by-step assistance

Get Started

Recommended Textbook for

Calculus Early Transcendentals

Authors: Michael Sullivan, Kathleen Miranda

2nd Edition

1319067484, 9781319067489

More Books

Students also viewed these Mathematics questions

Question

WHAT IS AUTOMATION TESTING?

Answered: 1 week ago

Question

What is Selenium? What are the advantages of Selenium?

Answered: 1 week ago

Question

Explain the various collection policies in receivables management.

Answered: 1 week ago

Question

state what is meant by the term performance management

Answered: 1 week ago