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Suppose \(X\) represents the scores (in points) of students in a math class evaluation, and it follows a normal distribution with a mean of 65 points and a standard deviation of 10 points. Hugo receives a score of 75 points and claims, “I am in the top 2\(\pourcent\) of students in this class.”
Are you agree with Hugo ? Explains your answer.\FieldText{1}{\(X \sim \mathcal{N}(65, 10^2)\). I calculate:$$P(X \geq 75) \approx 0.16$$I don’t agree. He’s in the top 16\(\pourcent\), not 2\(\pourcent\).}