The annual precipitation amounts in a certain mountain range are normally distributed with a mean of 107 Inches, and a standard deviation of 12 inches. What is the probability that the mean
annual precipitation during 36 randomly picked years will be less than 109.8 inches?
step 1
Find out the z-score
Z score =(x - μ)/σ
we have
x=109.8 in
μ=107 in
σ=12 in
substitute
z score=(109.8-107)/12
z-score=0.2333
Find out the probability
using the tables of z-score
P=0.5922
therefore
the answer is 0.5808
