SOLUTION: The amount of snowfall falling in a certain mountain range is normally distributed with a mean of 105 inches, and a standard deviation of 16 inches. What is the probability that th

Algebra ->  Probability-and-statistics -> SOLUTION: The amount of snowfall falling in a certain mountain range is normally distributed with a mean of 105 inches, and a standard deviation of 16 inches. What is the probability that th      Log On


   



Question 1205163: The amount of snowfall falling in a certain mountain range is normally distributed with a mean of 105 inches, and a standard deviation of 16 inches. What is the probability that the annual snowfall will exceed 120 inches?
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
mean is 105.
standard deviation is 16.
z-score is z = (x-m)/s
z is the z-score
x is 120
m is 105
s is 16
formula becomes z = (120 - 105)/16
solve for z to get z = .9375.
area to right of z-score of .9375 = .17425 rounded to 5 decimal digits.
that's the probability of getting annual snowfall to exceed 120 inches.