Thinking about the areas of a Standard Normal Distribution, as z values decrease, do the areas to the left of z increase, or decrease?

Question

Mathematics

Alexzander Ellis

17 December, 03:35

Thinking about the areas of a Standard Normal Distribution, as z values decrease, do the areas to the left of z increase, or decrease?

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Lauryn Steele · Answer 1

The Standard Normal Distribution is a "Bell-shaped" curve as shown in the figure below.

The distribution ha these properties:

(i) The normalized random variable, z, is the horizontal coordinate for the curve.

(ii) The total area under the curve is 1.

(ii) The curve is symmetric about z = 0.

Answer:

As z values decrease, areas to the left of z decrease.