Chapter 1.1, Problem 12E

Let x equal a number that is selected randomly from the closed interval from zero to one, [0, 1]. Use your intuition to assign values to

(a) $P\left(\left\{x:0\le x\le \frac{1}{3}\right\}\right)$.

(b) $P\left(\left\{x:\frac{1}{3}\le x\le 1\right\}\right)$.

(c) $P\left(\left\{x:x=\frac{1}{3}\right\}\right)$.

(d) $P\left(\left\{x:\frac{1}{2}<x<5\right\}\right)$.