Is a Probability Density Function for a Particular Random Variable $$f ( x ) = \left\{ \begin{array} { l r } \frac { 1 } { 3 } & \text { for } 0 \leq x \leq 3 \\0 & \text { otherwise }\end{array} \right.$$

Multiple Choice

is a probability density function for a particular random variable $$f ( x ) = \left\{ \begin{array} { l r } \frac { 1 } { 3 } & \text { for } 0 \leq x \leq 3 \\0 & \text { otherwise }\end{array} \right.$$ variable X . Use integration to find $P ( 0 \leq x \leq 1 )$ rounded to the nearest hundredth.

A) 0.67
B) 0.22
C) 0.12
D) 0.33