clearification on finding c in a continous random function

**lllll** · March 24th 2008, 02:46 PM

$f(y) = \left\{ \begin{array}{rcl} 0.2 & \mbox{for} & -1 < y \leq 0 \\ \\ 0.2 + cy & \mbox{for} & 0 < y \leq 1 \\ \\ 0 & \mbox{} & elsewhere \end{array}\right.$

I'm not sure exactly sure on how to find it, is it:

1) $\int^{0}_{-1} 0.2 \ \ dy + \int^{1}_{0} 0.2 + cy \ \ dy$ , or

2) $\int^{1}_{0} 0.2 + cy \ \ dy$

**Plato** · March 24th 2008, 03:16 PM

It is the first because the total measure must equal 1.

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