The average number of acres burned by forest and range fires in a large county i

Question

The average number of acres burned by forest and range fires in a large county is 4,300 acres per year, with a standard deviation of 700 acres. The distribution of the number of acres burned is normal. a. Compute the probability that more than 5,000 acres will be burned in any year. b. Determine the probability that fewer than 4,000 acres will be burned in any year. c. What is the probability that between 1,500 and 4,200 acres will be burned? d. In those years when more than 5,500 acres are burned, help is needed from eastern-region fire teams. Determine the probability help will be needed in any year. a. The probability that more than 5,000 acres will be burned is .1587 Round to four decimal places as needed.) b. The probability that fewer than 4,000 acres will be burned is .3341. Round to four decimal places as needed.) c. The probability that between 1,500 and 4,200 acres will be burned is 4432 Round to four decimal places as needed.) d. The probability help will be needed is Round to four decimal places as needed.)

Explanation / Answer

Q1) d) P(X>5500)

= P(Z>(5500-4300)/700

P(Z>1.7143)

Use Excel function

1-NORMSDIST(1.7143)

= 0.0432

Q2) Mean will be 3345

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