Question

Verify that the following function is a cumulative distribution function.

Answer 1

Answer:

Following are the answer to this question:

Step-by-step explanation:

In the given equation there is mistyping so, correct equation and its calculation can be defined as follows:

Given:

$f(x) =\left\begin{array}{cc} 0&x< 1\\0.5& 1 < x$

Calculated value:

$1) \ \ P(x < 3) =1\\\\2) \ \ P(x < 2) = 1-0.5$

                  $= 0.5$

$3) P(1 < x < 2) = P( x< 2) -p(x< 1)$

                      $=0.5-0\\=0.5$

$4) \ \ P(x> 2)= 1-P(x$

                  $=1-0.5\\=0.5$

That's why the given equation is true.