Question

For a bell curve with mean 7 and standard deviation 3, how much area is under the curve, above the horizontal?

Answer 1

`Area = 1 " unit"^2`

Explanation:

Given: Bell curve with mean `= mu = 7` and standard deviation `= sigma = 3`.

A bell shape curve has a normal distribution. The peak of the curve is at the mean. The total area under this curve, above the horizontal or `x-`axis is always `1 " unit"^2`.

If you wanted to find the area at a certain location `x` along the horizontal, you would find the z-score using the formula `z = (x - mu)/sigma`, look up the z-score value in a z-table and find the area from the start of the curve up to that `x` value.