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Normal Distribution: Areas to the Left and Right of x

25 四月, 2016 - 12:37
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The arrow in the graph below points to the area to the left of x. This area is represented by the probability P (X<x). Normal tables, computers, and calculators provide or calculate the probability P (X<x).

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The area to the right is then P (X>x) = 1 − P (X<x).
Remember, P (X<x)= Area to the left of the vertical line through x.
P (X>x) = 1 − P (X<x) = Area to the right of the vertical line through x.
P (X<x) is the same as P (X ≤ x) and P (X>x) is the same as P (X ≥ x) for continuous distributions.