The average number of acres burned by forest and range fires in a large New Mexico county is 4,300 acresper year, with a standard deviation of 750 acres. The distribution of the number of acres burned is normal.What is the probability that between 2,500 and 4,200 acres will be burned in any given year?

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Answered: The average number of acres burned by…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Similar questions

in a test of a lifelong brand of tires , a survey revealed that the mean life was 35,000 mikes and the standard deviation was 7083 mikes. if the shape of the population distribution is known to be normal, approximately what percentage of the tires lasts less than 20834 miles ?
The Greenville Power Authority states that the mean monthly energy bill for their customers is $228 with a standard deviation of $38. They know that energy bills follow a normal distribution. a. Between what two values do we expect 99.7% of energy bill’s to fall? b. What is the probability of a randomly selected energy bill at least $190?
The typical amount of sleep per night for college graduate students has a normal distribution with a mean of 5 hours. What is the standard deviation of this distribution if 16% of students sleep more than 6.5 hours? A. -1.52 B. -1.55 C. 1.52 D. 1.55
A mechanic sells a brand of automobile tire that has a life expectancy that is normally distributed, with a mean life of 35,000 miles and a standard deviation of 2100 miles. He wants to give a guarantee for free replacement of tires that don't wear well. How should he word his guarantee if he is willing to replace approximately 10% of the tires? Click to view page 1 of the table. Click to view page 2 of the table. Tires that wear out by miles will be replaced free of charge. (Round to the nearest mile as needed.)
Cody took his first physics exam and scored an 80. The population mean for this exam is 70, and the standard deviation is 5. What is the probability of selecting a person with a score greater than Cody’s?
Suppose there is a city where the mean cost per month of a one-bedroom apartment is $1,500, with a standard deviation of $250. Approximately what percentage of one-bedroom apartments in the city cost between $750 and $1,000?
The NJ Department of Health has reported the average life span of NJ residents is 81 years. If the standard deviation is σ = 4 years, what is the probability of a person living to at least 92 years of age?
At 60 airports within a region, the temperature is recorded. The average temperature is 67°F, with a 5°F standard deviation. What is the z-score for 68°F?
The mean weight of 1000 students at a certain high school is 140 pounds and the standard deviation of 10 pounds. Assuming that the weights are normally distributed. How many students weigh more than 150 pounds? Select one: O 342.3 O 343.3 O 341.3 O 344.3
A single fair die is rolled seven times. Find the mean and standard deviation of the number of times a 3 appears.

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