The score that is 3 standard deviations above the mean is 148.
Since the scores on the driver's test are normally distributed with a mean X = 100 and a standard deviation of σ = 16.
We need to find a score that is 3 standard deviations above the mean. that is, a score X' = X + 3σ.
We need to first find the value of 3 standard deviations. So, 3σ = 3 × 16 = 48
Since our mean is X = 100 and we seek to find X' which is 3 standard deviations above the mean X.
So, X' = X + 3σ
Substituting the values of the variables into the equation, we have
X' = X + 3σ
X' = 100 + 48
X' = 148
So, the score that is 3 standard deviations above the mean is 148.
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