Chapter: Normal Distribution Suppose that in a soccer team, the scores among all players are normally distributed with a mean μ = 182 points and standard deviation σ = 14 points. A trophy is given to...

Chapter: Normal Distribution

Suppose that in a soccer team, the scores among all players are normally distributed with a mean μ = 182 points and standard deviation σ = 14 points. A trophy is given to each player whose score is at or above the 97th percentile. What is the minimum score needed for a player to receive a trophy?

Must show which tables were used, if it's area of the left, and a bell curve or the like.

(I have the answer, it's 209, as the soccer scores are whole numbers, and this needs to be rounded up to 209, and that the inverse norm is 0.97, 182, 14)= 208.3311105, but I would like to know all the steps please, and I'm just providing the answer as the last few times the answers didn't match. Thank you. )