The probability density function of a continuous random variable X is $f ( x ) = \frac { 3 } { 2 } x - \frac { 3 } { 4 } x ^ { 2 }$ , $0 \leq x \leq 2$ . Is this the graph of f(x) with the shaded area corresponding to $\operatorname { Pr } \left( \frac { 1 } { 2 } \leq x \leq \frac { 3 } { 2 } \right)$?

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The Answer of The probability density function of a continuous random variable X is $f ( x ) = \frac { 3 } { 2 } x - \frac { 3 } { 4 } x ^ { 2 }$ , $0 \leq x \leq 2$ . Is this the graph of f(x) with the shaded area corresponding to $\operatorname { Pr } \left( \frac { 1 } { 2 } \leq x \leq \frac { 3 } { 2 } \right)$?

The Probability Density Function of a Continuous Random Variable X f(x)=32x−34x2f ( x ) = \frac { 3 } { 2 } x - \frac { 3 } { 4 } x ^ { 2 }f(x)=23​x−43​x2

The Probability Density Function of a Continuous Random Variable X $f ( x ) = \frac { 3 } { 2 } x - \frac { 3 } { 4 } x ^ { 2 }$