The Density Curve for a Continuous Random Variable Is Shown $P ( x < 1 )$

question 20

Essay

The density curve for a continuous random variable is shown below. Use this curve
to find the following probabilities:
a) $P ( x < 1 )$
b) $P ( x$ is at least $3 )$
You may need to use the following area formulas in your calculations:
Area of a rectangle: $A = l w$
Area of a trapezoid: $A = \frac { 1 } { 2 } h \left( b _ { 1 } + b _ { 2 } \right)$
Area of a right triangle: $A = \frac { 1 } { 2 } a b$

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Definitions:

Egyptian Pylon

An Egyptian pylon is a monumental gateway to ancient Egyptian temples, consisting of two tapering massive towers joined by a less elevated doorway, often carved with hieroglyphics and religious imagery.

Marine Style

A distinctive style of Minoan pottery characterized by sea creatures, seaweed, and other marine motifs, predominantly found during the Late Minoan period.

Minoan Pottery

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