Question 1090506: The average number of acres burned by forest and range fires in a large Wyoming county (USA) is 4,300 acres per year, with a standard deviation of 750 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 2,500 and 4,200 acres will be burned?
Answer by Boreal(15235)   (Show Source):
You can put this solution on YOUR website! Get the z value where
z=(x-mean)/sd
so for a. z>=(5000-4300)/750=700/750 or a z > = +0.93. This is 0.1762.
for b. z < =(4000-4300)/750=-300/750 or z < = -0.4. This is 0.3446.
for c. z=(2500-4300)/750=-2.4 and z=(4200-4300)/750=-0.13
Want a probability for z between those values, 0.5447.
The probability may be obtained from the table or with a calculator.
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