Scores for a common standardized college aptitude test are normally distributed with a mean of 498 and a standard deviation of 98. Randomly selected men are given a Preparation Course before taking this test. Assume, for sake of argument, that the Preparation Course has no effect on people's test scores.
If 1 of the men is randomly selected, find the probability that his score is at least 550.3. P(X > 550.3) = ?
This problem was under the chapter central limit theorem but I have no clue how to do this.
I know the central limit theorem is using Z is Z= (xbar-mu)/(sigma/sqrt(n)) I also know the problem mentions standard normal and that is P(x)=1/(sqrt(2pi)) integral e^-((x^2)/2)
Can you guys help? I'm very new to Probability