Answer:


Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 500
Standard Deviation, σ = 100
We are given that the distribution of SAT score is a bell shaped distribution that is a normal distribution.
Formula:

We have to find the value of x such that the probability is 0.64
P(X<x) = 0.64
Calculation the value from standard normal z table, we have, 

