Question

The heights of fully grown English oak (also known as Brown oak) trees are normally distributed with a mean of 95 feet and a standard deviation of 10 feet. What proportion of fully grown English oak trees are taller than 110 feet?

Answer 1

Standard normal distribution formula is
z = (x - μ) / σ
μ = 95
σ =10
z = (110-95) / 10
= 1.5
the probability z>1.5 using the standardization table = 0.0668
P(z > 1.5) = 0.0668