Please explain uniform distribution to me I am confused about Uniform Distribution 
why does $$P(v &lt; 2b1)$$

equal 2b1 ?
I guess $v$ is a random variable of uniform distribution on the interval $[0,1]$. Then, if $0\le b_1\le 1/2$, we indeed have


  $P(v&lt;2b_1)=$ length of $[0,2b_1)$ which is $2b_1$.
I guess $v$ is a random variable of uniform distribution on the interval $[0,1]$. Then, if $0\le b_1\le 1/2$, we indeed have


  $P(v&lt;2b_1)=$ length of $[0,2b_1)$ which is $2b_1$.