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Help asap Show your work to earn credits. NO WORK, NO CREDIT. the average number of acres burned by forest and range fires in the Jay county is 4, 300 acres, per year, with a standard deviation of 750 acres. Assume the distribution of the number of acres burned is a normal distribution. What is the Probability that more than 4, 400 acres will be burned in a given year? What number of burnt acres corresponds to the lowest 67th percentile? What is the probability that the burned forest is between 3900 acres and 4500 acres?

Explanation / Answer

from normal distribution z=(X-mean)/std deviation

a)P(X>4400)=1-P(X<4400)=1-P(Z<(4400-4300)/750)=1-P(Z<0.1333)=1-0.5530=0.4470

b)for 67th percentile z =0.4399

hence corresponding value =mean +z*std deviation=4629.935

c)P(3900<X<4500)=P((3900-4300)/750<z<(4500-4300)/750)=P(-0.5333<Z<0.2667)=0.6051-0.2969=0.3082

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