If we assume that snowfall during the month of March in Champaign-Urbana is normally distributed with a mean of 3.55 inches and a standard deviation of 3.65 inches, what is the probability that it snows 8 inches or more on in a given March in CU

The probability that it snows 8 inches or more in a given March is 0.11123

Step-by-step explanation:

To calculate this probability, we shall need to calculate the z-score first

Mathematically;

z-score = (x - mean)/SD

in this question, x = 8 inches

mean = 3.55 inches

SD = 3.65 inches

So the z-score will be;

(8-3.55)/3.65 = 1.22

So the probability we want to calculate is;

P ( z > 1.22)

we can calculate this using the standard normal distribution table

So P( z > 1.22) = 0.11123