Respuesta :

lesamoor
3 standard deviations above the mean=3 * 16 above the mean = 48 above 100= 148.
oladayoademosu

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 Οƒ = 16.

We need to find a score that is 3 standard deviations above the mean. that is, a score X' = X + 3Οƒ.

We need to first find the value of 3 standard deviations. So, 3Οƒ = 3 Γ— 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 + 3Οƒ

Substituting the values of the variables into the equation, we have

X' = X + 3Οƒ

X' = 100 + 48

X' = 148

So, the score that is 3 standard deviations above the mean is 148.

Learn more about normal distribution here:

https://brainly.com/question/23418254

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