Answer:
or
.
Step-by-step explanation:
We have been given that a normal distribution has μ=80 and σ=10. We are asked to find the the probability of randomly selecting a score greater than 85 from this distribution.
First of all, we will find the z-score corresponding to normal score 85 as:

Upon substituting our given values in z-score formula, we will get:



Now, we need to find
for the probability of randomly selecting a score greater than 85 from this distribution.
Using formula
, we will get:



Therefore, the probability of randomly selecting a score greater than 85 from this distribution would be 0.30854 or
.