Question: If X is a continuous random variable whose probability density function f ( x ) is shown below, find P ( X > 5 )

If X is a continuous random variable whose probability density function f ( x ) is shown below, find P ( X > 5 ) . Three line segments on a coordinate system. A coordinate system has a horizontal x-axis labeled from 0 to 8 in increments of 1 and a vertical y-axis with a label at StartFraction 1 Over 6 EndFraction. A random probability function f left-parenthesis x right-parenthesis is depicted by two solid line segments. The first solid straight line segment goes from the point left-parenthesis 0 comma StartFraction 1 Over 6 EndFraction right-parenthesis to the point left-parenthesis 5 comma StartFraction 1 Over 6 EndFraction right-parenthesis. The second solid straight line segment decreases from left to right starting from the point left-parenthesis 5 comma StartFraction 1 Over 6 EndFraction right-parenthesis to the point left-parenthesis 7 comma 0 right-parenthesis. A dashed vertical line segment goes from the point left-parenthesis 5 comma 0 right-parenthesis to the point left-parenthesis 5 comma StartFraction 1 Over 6 EndFraction right-parenthesis. Select the correct answer below: 1 6 1 4 1 3 5 12 1 2 3 4

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