Chapter 5, Problem 5.22STPE

(a)

To determine

To show:

  $\mathrm{b}\mathrm{U}$ Is uniformly distribution on $\left(0,\mathrm{b}\right)$ of the given function.

(b)

To determine

To show:

  $\mathrm{a}+\mathrm{U}$ Is uniformly distribution on $\left(\mathrm{a},1+\mathrm{a}\right)$ of the given function.

(c)

To determine

To show:

  $\mathrm{U}$ Is uniformly distribution on $\left(\mathrm{a},\mathrm{b}\right)$ of the given function.

(d)

To determine

To show:

  $\min \left(\mathrm{U},1-\mathrm{U}\right)$ Is uniformly distribution on $\left(0,1/2\right)$ of the given function.

(e)

To determine

To show:

  $\max \left(\mathrm{U},1-\mathrm{U}\right)$ Is uniformly distribution on $\left(1/2,1\right)$ of the given function.