The average number of acres burned by forest and range fires in a large county is 4,300 acres peryear, 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 2,500 and 4,200 acres will beburned?

d.

In those years when more than 5,500 acres areburned, help is needed fromeastern-region fire teams. Determine the probability help will be needed in any year.