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

Question 11

Essay

The density curve for a continuous random variable is shown below. Use this curve
to find the following probabilities:  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
a) P(x<1)P ( x < 1 )
b) P(xP ( x is at least 3)3 )
You may need to use the following area formulas in your calculations:
Area of a rectangle: A=lwA = l w
Area of a trapezoid: A=12h(b1+b2)A = \frac { 1 } { 2 } h \left( b _ { 1 } + b _ { 2 } \right)
Area of a right triangle: A=12abA = \frac { 1 } { 2 } a b

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