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Sagot :
The minimum Score you would need to be in the top 5% is;
86.4345
Approximate normal distribution
If someone is in the top 5%, 95% of the people are below them. We have to find the value x such that; P(X ≤ X) = 0.95
Now, the z-score that corresponds to a probability of 0.95 on the normal distribution table is 1.645
The z-score formula is;
z = (x' - μ)/σ
we are given;
Population mean; μ = 76.4
Standard deviation; σ = 6.1
Thus;
1.645 = (x' - 76.4)/6.1
x' = (1.645 * 6.1) + 76.4
x' = 86.4345
Read more about Approximate Normal Distribution at; https://brainly.com/question/25800303
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