Question

Assume the average amount of precipitation in a town of Texas, during the month of April is 4.0 inches (the World Almanac, 2000). Assume that a normal distribution applies and that the standard deviation is 0.5 inches. A month is classified as extremely dry if the amount of rainfall is in the lower 2.5% for the month. How much precipitation must fall in April for it to be classified as extremely dry?

		4.0 inches
		3.36 inches
		3.18 inches
		3.02 inches

Answer 1

Here in this scenario we have to use the Standerd normal distribution to compute the rain fall which is extremely dry.

Now here a month is classified as extremely dry if the amount of rainfall is in the lower 2.5% for the month.

Now,

The probability is calculated using Standerd normal z-table.

Therefore there is 3.02 inches precipitation must fall in April for it to be classified as extremely dry.

Thank you.