In an extensive area of the Amazon region, fires occur with some regularity. An environmental entity conducted a study to evaluate the impact of these fires. In particular, one of the objectives of the study was to analyze the area affected by a fire. From a historical record with satellite images of the area of interest, it was possible to estimate that the area burned in a fire, in hectares, can be represented by a random variable with a Uniform distribution in the interval [2.5, 15]. Based on the previous description, solve the following questions: a. Calculate the probability that the area burned in a fire is between 7.1 and 11.3 hectares. b. What is the expected value of the area burned in a fire? Interpret the result.

In an extensive area of the Amazon region, fires occur with some regularity. An environmental entity conducted a study to evaluate the impact of these fires. In particular, one of the objectives of the study was to analyze the area affected by a fire. From a historical record with satellite images of the area of interest, it was possible to estimate that the area burned in a fire, in hectares, can be represented by a random variable with a Uniform distribution in the interval [2.5, 15]. Based on the previous description, solve the following questions: a. Calculate the probability that the area burned in a fire is between 7.1 and 11.3 hectares. b. What is the expected value of the area burned in a fire? Interpret the result.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.5: Comparing Sets Of Data

Problem 3CYU

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